353564390400 has 1056 divisors, whose sum is σ = 1335582017280. Its totient is φ = 81836113920.

The previous prime is 353564390393. The next prime is 353564390441. The reversal of 353564390400 is 4093465353.

It is a happy number.

It is a super-2 number, since 2×353564390400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2043724714 + ... + 2043724886.

Almost surely, 2^353564390400 is an apocalyptic number.

353564390400 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 353564390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667791008640).

353564390400 is an abundant number, since it is smaller than the sum of its proper divisors (982017626880).

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

353564390400 is a wasteful number, since it uses less digits than its factorization.

353564390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 353564390400 in words is "three hundred fifty-three billion, five hundred sixty-four million, three hundred ninety thousand, four hundred".