366413414400 has 1020 divisors, whose sum is σ = 1486741498704. Its totient is φ = 88473600000.

The previous prime is 366413414387. The next prime is 366413414407. The reversal of 366413414400 is 4414314663.

366413414400 is a `hidden beast` number, since 3 + 6 + 641 + 3 + 4 + 1 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×366413414400² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (366413414407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1459814275 + ... + 1459814525.

Almost surely, 2^366413414400 is an apocalyptic number.

366413414400 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 366413414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743370749352).

366413414400 is an abundant number, since it is smaller than the sum of its proper divisors (1120328084304).

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

366413414400 is an equidigital number, since it uses as much as digits as its factorization.

366413414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 366413414400 in words is "three hundred sixty-six billion, four hundred thirteen million, four hundred fourteen thousand, four hundred".