381477438720 has 648 divisors, whose sum is σ = 1528220768256. Its totient is φ = 86060040192.

The previous prime is 381477438701. The next prime is 381477438737. The reversal of 381477438720 is 27834774183.

381477438720 is a `hidden beast` number, since 38 + 1 + 477 + 43 + 87 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1976566944 + ... + 1976567136.

Almost surely, 2^381477438720 is an apocalyptic number.

381477438720 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 381477438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764110384128).

381477438720 is an abundant number, since it is smaller than the sum of its proper divisors (1146743329536).

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

381477438720 is a wasteful number, since it uses less digits than its factorization.

381477438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 381477438720 in words is "three hundred eighty-one billion, four hundred seventy-seven million, four hundred thirty-eight thousand, seven hundred twenty".