334324221013440 has 672 divisors, whose sum is σ = 1359584324751744. Its totient is φ = 73808906158080.

The previous prime is 334324221013417. The next prime is 334324221013441. The reversal of 334324221013440 is 44310122423433.

334324221013440 is a `hidden beast` number, since 3 + 3 + 432 + 4 + 2 + 210 + 1 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×334324221013440² (a number of 30 digits) contains 22 as substring.

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 = 334324221013395 and 334324221013404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334324221013441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100555260 + ... + 103826820.

It is an arithmetic number, because the mean of its divisors is an integer number (2023190959452).

Almost surely, 2^{334324221013440} is an apocalyptic number.

334324221013440 is a gapful number since it is divisible by the number (30) 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 334324221013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679792162375872).

334324221013440 is an abundant number, since it is smaller than the sum of its proper divisors (1025260103738304).

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

334324221013440 is a wasteful number, since it uses less digits than its factorization.

334324221013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271765 (or 3271752 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 334324221013440 its reverse (44310122423433), we get a palindrome (378634343436873).

The spelling of 334324221013440 in words is "three hundred thirty-four trillion, three hundred twenty-four billion, two hundred twenty-one million, thirteen thousand, four hundred forty".