379914913440 has 384 divisors, whose sum is σ = 1412107603200. Its totient is φ = 95126814720.

The previous prime is 379914913429. The next prime is 379914913487. The reversal of 379914913440 is 44319419973.

379914913440 is a `hidden beast` number, since 3 + 79 + 91 + 49 + 1 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9254560 + ... + 9295520.

It is an arithmetic number, because the mean of its divisors is an integer number (3677363550).

Almost surely, 2^379914913440 is an apocalyptic number.

379914913440 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 379914913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706053801600).

379914913440 is an abundant number, since it is smaller than the sum of its proper divisors (1032192689760).

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

379914913440 is a wasteful number, since it uses less digits than its factorization.

379914913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41117 (or 41103 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 379914913440 in words is "three hundred seventy-nine billion, nine hundred fourteen million, nine hundred thirteen thousand, four hundred forty".