381799587840 has 448 divisors, whose sum is σ = 1390805033472. Its totient is φ = 88526028800.

The previous prime is 381799587803. The next prime is 381799587937. The reversal of 381799587840 is 48785997183.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31082500 + ... + 31094780.

Almost surely, 2^381799587840 is an apocalyptic number.

381799587840 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 381799587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695402516736).

381799587840 is an abundant number, since it is smaller than the sum of its proper divisors (1009005445632).

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

381799587840 is a wasteful number, since it uses less digits than its factorization.

381799587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12349 (or 12325 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 69.

The spelling of 381799587840 in words is "three hundred eighty-one billion, seven hundred ninety-nine million, five hundred eighty-seven thousand, eight hundred forty".