381442795920 has 480 divisors, whose sum is σ = 1375285976064. Its totient is φ = 98151782400.

The previous prime is 381442795897. The next prime is 381442795931. The reversal of 381442795920 is 29597244183.

381442795920 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 42 + 7 + 9 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 277816354 + ... + 277817726.

Almost surely, 2^381442795920 is an apocalyptic number.

381442795920 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 381442795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687642988032).

381442795920 is an abundant number, since it is smaller than the sum of its proper divisors (993843180144).

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

381442795920 is a wasteful number, since it uses less digits than its factorization.

381442795920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 381442795920 in words is "three hundred eighty-one billion, four hundred forty-two million, seven hundred ninety-five thousand, nine hundred twenty".