381741465600 has 960 divisors, whose sum is σ = 1545727384080. Its totient is φ = 92366438400.

The previous prime is 381741465569. The next prime is 381741465613. The reversal of 381741465600 is 6564147183.

381741465600 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 41 + 46 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 59 ways as a sum of consecutive naturals, for example, 729906939 + ... + 729907461.

Almost surely, 2^381741465600 is an apocalyptic number.

381741465600 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 381741465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772863692040).

381741465600 is an abundant number, since it is smaller than the sum of its proper divisors (1163985918480).

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

381741465600 is an equidigital number, since it uses as much as digits as its factorization.

381741465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 381741465600 in words is "three hundred eighty-one billion, seven hundred forty-one million, four hundred sixty-five thousand, six hundred".