381055104960 has 336 divisors, whose sum is σ = 1315993507200. Its totient is φ = 93156894720.

The previous prime is 381055104949. The next prime is 381055104973. The reversal of 381055104960 is 69401550183.

381055104960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17517771 + ... + 17539509.

Almost surely, 2^381055104960 is an apocalyptic number.

381055104960 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 381055104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657996753600).

381055104960 is an abundant number, since it is smaller than the sum of its proper divisors (934938402240).

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

381055104960 is a wasteful number, since it uses less digits than its factorization.

381055104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21840 (or 21799 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 381055104960 in words is "three hundred eighty-one billion, fifty-five million, one hundred four thousand, nine hundred sixty".