4233421333440 has 448 divisors, whose sum is σ = 17029471777920. Its totient is φ = 980774092800.

The previous prime is 4233421333433. The next prime is 4233421333447. The reversal of 4233421333440 is 443331243324.

4233421333440 is a `hidden beast` number, since 4 + 233 + 42 + 13 + 334 + 40 = 666.

4233421333440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4233421333433) and next prime (4233421333447).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4233421333395 and 4233421333404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233421333447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800890 + ... + 3017990.

It is an arithmetic number, because the mean of its divisors is an integer number (38012213790).

Almost surely, 2^{4233421333440} is an apocalyptic number.

4233421333440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233421333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514735888960).

4233421333440 is an abundant number, since it is smaller than the sum of its proper divisors (12796050444480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4233421333440 is a wasteful number, since it uses less digits than its factorization.

4233421333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217157 (or 2217141 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 4233421333440 its reverse (443331243324), we get a palindrome (4676752576764).

The spelling of 4233421333440 in words is "four trillion, two hundred thirty-three billion, four hundred twenty-one million, three hundred thirty-three thousand, four hundred forty".