358161350400 has 432 divisors, whose sum is σ = 1500966432000. Its totient is φ = 81865175040.

The previous prime is 358161350369. The next prime is 358161350411. The reversal of 358161350400 is 4053161853.

358161350400 is a `hidden beast` number, since 3 + 581 + 6 + 1 + 35 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×358161350400³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061551 + ... + 1357649.

Almost surely, 2^358161350400 is an apocalyptic number.

358161350400 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 358161350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750483216000).

358161350400 is an abundant number, since it is smaller than the sum of its proper divisors (1142805081600).

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

358161350400 is a wasteful number, since it uses less digits than its factorization.

358161350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296141 (or 296116 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 358161350400 in words is "three hundred fifty-eight billion, one hundred sixty-one million, three hundred fifty thousand, four hundred".