381260374470360 has 3072 divisors, whose sum is σ = 1701606378700800. Its totient is φ = 71667871027200.

The previous prime is 381260374470359. The next prime is 381260374470463. The reversal of 381260374470360 is 63074473062183.

381260374470360 is a `hidden beast` number, since 3 + 8 + 1 + 260 + 374 + 4 + 7 + 0 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381260374470297 and 381260374470306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 204210162147 + ... + 204210164013.

It is an arithmetic number, because the mean of its divisors is an integer number (553908326400).

Almost surely, 2^{381260374470360} is an apocalyptic number.

381260374470360 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 381260374470360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850803189350400).

381260374470360 is an abundant number, since it is smaller than the sum of its proper divisors (1320346004230440).

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

381260374470360 is a wasteful number, since it uses less digits than its factorization.

381260374470360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 381260374470360 in words is "three hundred eighty-one trillion, two hundred sixty billion, three hundred seventy-four million, four hundred seventy thousand, three hundred sixty".