381450218760 has 640 divisors, whose sum is σ = 1474417486080. Its totient is φ = 87714772992.

The previous prime is 381450218759. The next prime is 381450218791. The reversal of 381450218760 is 67812054183.

381450218760 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 502 + 1 + 87 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41652102 + ... + 41661258.

It is an arithmetic number, because the mean of its divisors is an integer number (2303777322).

Almost surely, 2^381450218760 is an apocalyptic number.

381450218760 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 381450218760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737208743040).

381450218760 is an abundant number, since it is smaller than the sum of its proper divisors (1092967267320).

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

381450218760 is a wasteful number, since it uses less digits than its factorization.

381450218760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9259 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 381450218760 in words is "three hundred eighty-one billion, four hundred fifty million, two hundred eighteen thousand, seven hundred sixty".