1156009418000 has 160 divisors (see below), whose sum is σ = 2965726752768. Its totient is φ = 434310912000.

The previous prime is 1156009417951. The next prime is 1156009418023. The reversal of 1156009418000 is 8149006511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16659377 + ... + 16728623.

Almost surely, 2^{1156009418000} is an apocalyptic number.

1156009418000 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 1156009418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482863376384).

1156009418000 is an abundant number, since it is smaller than the sum of its proper divisors (1809717334768).

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

1156009418000 is a wasteful number, since it uses less digits than its factorization.

1156009418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69778 (or 69762 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 1156009418000 in words is "one trillion, one hundred fifty-six billion, nine million, four hundred eighteen thousand".