380571456000 has 320 divisors, whose sum is σ = 1268716939776. Its totient is φ = 101212160000.

The previous prime is 380571455993. The next prime is 380571456047. The reversal of 380571456000 is 654175083.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 380571456000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76989529 + ... + 76994471.

Almost surely, 2^380571456000 is an apocalyptic number.

380571456000 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 380571456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634358469888).

380571456000 is an abundant number, since it is smaller than the sum of its proper divisors (888145483776).

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

380571456000 is an equidigital number, since it uses as much as digits as its factorization.

380571456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

It can be divided in two parts, 380571 and 456000, that added together give a triangular number (836571 = T₁₂₉₃).

The spelling of 380571456000 in words is "three hundred eighty billion, five hundred seventy-one million, four hundred fifty-six thousand".