1150382386400 has 144 divisors (see below), whose sum is σ = 3044432831328. Its totient is φ = 421943040000.

The previous prime is 1150382386319. The next prime is 1150382386427. The reversal of 1150382386400 is 46832830511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204130 + ... + 1936670.

It is an arithmetic number, because the mean of its divisors is an integer number (21141894662).

Almost surely, 2^{1150382386400} is an apocalyptic number.

1150382386400 is a gapful number since it is divisible by the number (10) 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 1150382386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522216415664).

1150382386400 is an abundant number, since it is smaller than the sum of its proper divisors (1894050444928).

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

1150382386400 is a wasteful number, since it uses less digits than its factorization.

1150382386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732725 (or 732712 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 1150382386400 in words is "one trillion, one hundred fifty billion, three hundred eighty-two million, three hundred eighty-six thousand, four hundred".