379991532614400 has 432 divisors, whose sum is σ = 1592446001932800. Its totient is φ = 86855207178240.

The previous prime is 379991532614389. The next prime is 379991532614401. The reversal of 379991532614400 is 4416235199973.

It is a happy number.

379991532614400 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 9 + 1 + 5 + 3 + 2 + 614 + 4 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (379991532614401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155863620 + ... + 158282819.

Almost surely, 2^{379991532614400} is an apocalyptic number.

379991532614400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379991532614400 is an abundant number, since it is smaller than the sum of its proper divisors (1212454469318400).

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

379991532614400 is a wasteful number, since it uses less digits than its factorization.

379991532614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314146481 (or 314146456 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 379991532614400 in words is "three hundred seventy-nine trillion, nine hundred ninety-one billion, five hundred thirty-two million, six hundred fourteen thousand, four hundred".