379339740856440 has 5120 divisors, whose sum is σ = 1793257449984000. Its totient is φ = 69579638046720.

The previous prime is 379339740856369. The next prime is 379339740856513. The reversal of 379339740856440 is 44658047933973.

379339740856440 is a `hidden beast` number, since 3 + 7 + 9 + 3 + 3 + 97 + 40 + 8 + 56 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1016996624094 + ... + 1016996624466.

It is an arithmetic number, because the mean of its divisors is an integer number (350245595700).

Almost surely, 2^{379339740856440} is an apocalyptic number.

379339740856440 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 379339740856440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896628724992000).

379339740856440 is an abundant number, since it is smaller than the sum of its proper divisors (1413917709127560).

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

379339740856440 is a wasteful number, since it uses less digits than its factorization.

379339740856440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 379339740856440 in words is "three hundred seventy-nine trillion, three hundred thirty-nine billion, seven hundred forty million, eight hundred fifty-six thousand, four hundred forty".