353482455040 has 576 divisors, whose sum is σ = 1035949824000. Its totient is φ = 114632294400.

The previous prime is 353482455031. The next prime is 353482455083. The reversal of 353482455040 is 40554284353.

It is a super-2 number, since 2×353482455040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590120661 + ... + 590121259.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524000).

Almost surely, 2^353482455040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353482455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517974912000).

353482455040 is an abundant number, since it is smaller than the sum of its proper divisors (682467368960).

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

353482455040 is a wasteful number, since it uses less digits than its factorization.

353482455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

The spelling of 353482455040 in words is "three hundred fifty-three billion, four hundred eighty-two million, four hundred fifty-five thousand, forty".