380479320144 has 1280 divisors, whose sum is σ = 1487904768000. Its totient is φ = 90139392000.

The previous prime is 380479320127. The next prime is 380479320161. The reversal of 380479320144 is 441023974083.

380479320144 is a `hidden beast` number, since 3 + 8 + 0 + 479 + 32 + 0 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (380479320127) and next prime (380479320161).

It is a self number, because there is not a number n which added to its sum of digits gives 380479320144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2737261227 + ... + 2737261365.

It is an arithmetic number, because the mean of its divisors is an integer number (1162425600).

Almost surely, 2^380479320144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380479320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743952384000).

380479320144 is an abundant number, since it is smaller than the sum of its proper divisors (1107425447856).

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

380479320144 is a wasteful number, since it uses less digits than its factorization.

380479320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 380479320144 in words is "three hundred eighty billion, four hundred seventy-nine million, three hundred twenty thousand, one hundred forty-four".