1014116392960 has 224 divisors, whose sum is σ = 2700049464000. Its totient is φ = 362509762560.

The previous prime is 1014116392903. The next prime is 1014116392987. The reversal of 1014116392960 is 692936114101.

It is a super-2 number, since 2×1014116392960² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26563966 + ... + 26602114.

It is an arithmetic number, because the mean of its divisors is an integer number (12053792250).

Almost surely, 2^{1014116392960} is an apocalyptic number.

1014116392960 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 1014116392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350024732000).

1014116392960 is an abundant number, since it is smaller than the sum of its proper divisors (1685933071040).

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

1014116392960 is an equidigital number, since it uses as much as digits as its factorization.

1014116392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38250 (or 38226 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 1014116392960 in words is "one trillion, fourteen billion, one hundred sixteen million, three hundred ninety-two thousand, nine hundred sixty".