380015133120 has 1792 divisors, whose sum is σ = 1746869760000. Its totient is φ = 77253378048.

The previous prime is 380015133089. The next prime is 380015133131. The reversal of 380015133120 is 21331510083.

It is a super-2 number, since 2×380015133120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 957216762 + ... + 957217158.

Almost surely, 2^380015133120 is an apocalyptic number.

380015133120 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 380015133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873434880000).

380015133120 is an abundant number, since it is smaller than the sum of its proper divisors (1366854626880).

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

380015133120 is a wasteful number, since it uses less digits than its factorization.

380015133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 380015133120 in words is "three hundred eighty billion, fifteen million, one hundred thirty-three thousand, one hundred twenty".