381959061120 has 1152 divisors, whose sum is σ = 1739595312000. Its totient is φ = 76333694976.

The previous prime is 381959061091. The next prime is 381959061131. The reversal of 381959061120 is 21160959183.

381959061120 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 5 + 9 + 0 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 69710541 + ... + 69716019.

It is an arithmetic number, because the mean of its divisors is an integer number (1510065375).

Almost surely, 2^381959061120 is an apocalyptic number.

381959061120 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 381959061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869797656000).

381959061120 is an abundant number, since it is smaller than the sum of its proper divisors (1357636250880).

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

381959061120 is a wasteful number, since it uses less digits than its factorization.

381959061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 381959061120 in words is "three hundred eighty-one billion, nine hundred fifty-nine million, sixty-one thousand, one hundred twenty".