379738449265440 has 192 divisors, whose sum is σ = 1212585978909312. Its totient is φ = 99874446336000.

The previous prime is 379738449265433. The next prime is 379738449265459. The reversal of 379738449265440 is 44562944837973.

It is a super-2 number, since 2×379738449265440² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2911793835 + ... + 2911924245.

It is an arithmetic number, because the mean of its divisors is an integer number (6315551973486).

Almost surely, 2^{379738449265440} is an apocalyptic number.

379738449265440 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 379738449265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606292989454656).

379738449265440 is an abundant number, since it is smaller than the sum of its proper divisors (832847529643872).

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

379738449265440 is a wasteful number, since it uses less digits than its factorization.

379738449265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213603 (or 213595 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 75.

The spelling of 379738449265440 in words is "three hundred seventy-nine trillion, seven hundred thirty-eight billion, four hundred forty-nine million, two hundred sixty-five thousand, four hundred forty".