380452101120 has 1760 divisors, whose sum is σ = 1779637039488. Its totient is φ = 75421974528.

The previous prime is 380452101109. The next prime is 380452101149. The reversal of 380452101120 is 21101254083.

380452101120 is a `hidden beast` number, since 3 + 80 + 452 + 10 + 1 + 120 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 641571544 + ... + 641572136.

Almost surely, 2^380452101120 is an apocalyptic number.

380452101120 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 380452101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889818519744).

380452101120 is an abundant number, since it is smaller than the sum of its proper divisors (1399184938368).

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

380452101120 is a wasteful number, since it uses less digits than its factorization.

380452101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 380452101120 in words is "three hundred eighty billion, four hundred fifty-two million, one hundred one thousand, one hundred twenty".