381971481600 has 1056 divisors, whose sum is σ = 1381636569600. Its totient is φ = 92851404800.

The previous prime is 381971481503. The next prime is 381971481613. The reversal of 381971481600 is 6184179183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 381971481600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4291814356 + ... + 4291814444.

Almost surely, 2^381971481600 is an apocalyptic number.

381971481600 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 381971481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690818284800).

381971481600 is an abundant number, since it is smaller than the sum of its proper divisors (999665088000).

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

381971481600 is a wasteful number, since it uses less digits than its factorization.

381971481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 381971481600 in words is "three hundred eighty-one billion, nine hundred seventy-one million, four hundred eighty-one thousand, six hundred".