1158329050400 has 72 divisors (see below), whose sum is σ = 2834332591104. Its totient is φ = 462256467200.

The previous prime is 1158329050391. The next prime is 1158329050423. The reversal of 1158329050400 is 40509238511.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1334912 + ... + 2024511.

It is an arithmetic number, because the mean of its divisors is an integer number (39365730432).

Almost surely, 2^{1158329050400} is an apocalyptic number.

1158329050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1158329050400 is an abundant number, since it is smaller than the sum of its proper divisors (1676003540704).

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

1158329050400 is a wasteful number, since it uses less digits than its factorization.

1158329050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359874 (or 3359861 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 1158329050400 in words is "one trillion, one hundred fifty-eight billion, three hundred twenty-nine million, fifty thousand, four hundred".