379658939197440 has 384 divisors, whose sum is σ = 1469782598618880. Its totient is φ = 81674527309824.

The previous prime is 379658939197409. The next prime is 379658939197441. The reversal of 379658939197440 is 44791939856973.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×379658939197440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (379658939197441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48271587 + ... + 55582946.

It is an arithmetic number, because the mean of its divisors is an integer number (3827558850570).

Almost surely, 2^{379658939197440} is an apocalyptic number.

379658939197440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379658939197440 is an abundant number, since it is smaller than the sum of its proper divisors (1090123659421440).

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

379658939197440 is a wasteful number, since it uses less digits than its factorization.

379658939197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103854587 (or 103854567 counting only the distinct ones).

The product of its (nonzero) digits is 11110659840, while the sum is 84.

The spelling of 379658939197440 in words is "three hundred seventy-nine trillion, six hundred fifty-eight billion, nine hundred thirty-nine million, one hundred ninety-seven thousand, four hundred forty".