381581408000 has 576 divisors, whose sum is σ = 1124952192000. Its totient is φ = 127612108800.

The previous prime is 381581407939. The next prime is 381581408041. The reversal of 381581408000 is 804185183.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181790951 + ... + 181793049.

It is an arithmetic number, because the mean of its divisors is an integer number (1953042000).

Almost surely, 2^381581408000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381581408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562476096000).

381581408000 is an abundant number, since it is smaller than the sum of its proper divisors (743370784000).

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

381581408000 is a wasteful number, since it uses less digits than its factorization.

381581408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 381581408000 in words is "three hundred eighty-one billion, five hundred eighty-one million, four hundred eight thousand".