386042954400 has 360 divisors, whose sum is σ = 1409452968924. Its totient is φ = 102825676800.

The previous prime is 386042954327. The next prime is 386042954419. The reversal of 386042954400 is 4459240683.

386042954400 is a `hidden beast` number, since 3 + 8 + 60 + 42 + 9 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 74719129104 + 311323825296 = 273348^2 + 557964^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 65639460 + ... + 65645340.

Almost surely, 2^386042954400 is an apocalyptic number.

386042954400 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 386042954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704726484462).

386042954400 is an abundant number, since it is smaller than the sum of its proper divisors (1023410014524).

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

386042954400 is a wasteful number, since it uses less digits than its factorization.

386042954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 386042954400 in words is "three hundred eighty-six billion, forty-two million, nine hundred fifty-four thousand, four hundred".