380440800000 has 1296 divisors, whose sum is σ = 1511185777920. Its totient is φ = 95178240000.

The previous prime is 380440799993. The next prime is 380440800011. The reversal of 380440800000 is 8044083.

It is a tau number, because it is divible by the number of its divisors (1296).

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

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, 3693599949 + ... + 3693600051.

Almost surely, 2^380440800000 is an apocalyptic number.

380440800000 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 380440800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755592888960).

380440800000 is an abundant number, since it is smaller than the sum of its proper divisors (1130744977920).

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

380440800000 is an frugal number, since it uses more digits than its factorization.

380440800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 380440800000 its reverse (8044083), we get a palindrome (380448844083).

The spelling of 380440800000 in words is "three hundred eighty billion, four hundred forty million, eight hundred thousand".