4238653322400 has 288 divisors, whose sum is σ = 15771175580160. Its totient is φ = 968627051520.

The previous prime is 4238653322389. The next prime is 4238653322413. The reversal of 4238653322400 is 42233568324.

It is a Cunningham number, because it is equal to 2058799²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86445091 + ... + 86494109.

It is an arithmetic number, because the mean of its divisors is an integer number (54761026320).

Almost surely, 2^{4238653322400} is an apocalyptic number.

4238653322400 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 4238653322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885587790080).

4238653322400 is an abundant number, since it is smaller than the sum of its proper divisors (11532522257760).

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

4238653322400 is a wasteful number, since it uses less digits than its factorization.

4238653322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54196 (or 54183 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 4238653322400 in words is "four trillion, two hundred thirty-eight billion, six hundred fifty-three million, three hundred twenty-two thousand, four hundred".