380871590400 has 2100 divisors, whose sum is σ = 1747604295162. Its totient is φ = 81935400960.

The previous prime is 380871590399. The next prime is 380871590423. The reversal of 380871590400 is 4095178083.

380871590400 is a `hidden beast` number, since 3 + 80 + 87 + 1 + 5 + 90 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 326653399296 + 54218191104 = 571536^2 + 232848^2 .

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 22404211192 + ... + 22404211208.

Almost surely, 2^380871590400 is an apocalyptic number.

380871590400 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 380871590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873802147581).

380871590400 is an abundant number, since it is smaller than the sum of its proper divisors (1366732704762).

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

380871590400 is an frugal number, since it uses more digits than its factorization.

380871590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 380871590400 in words is "three hundred eighty billion, eight hundred seventy-one million, five hundred ninety thousand, four hundred".