1014116579400 has 384 divisors, whose sum is σ = 3291539328000. Its totient is φ = 258026019840.

The previous prime is 1014116579389. The next prime is 1014116579407. The reversal of 1014116579400 is 49756114101.

It is a super-2 number, since 2×1014116579400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1014116579407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 768851941 + ... + 768853259.

It is an arithmetic number, because the mean of its divisors is an integer number (8571717000).

Almost surely, 2^{1014116579400} is an apocalyptic number.

1014116579400 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 1014116579400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645769664000).

1014116579400 is an abundant number, since it is smaller than the sum of its proper divisors (2277422748600).

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

1014116579400 is a wasteful number, since it uses less digits than its factorization.

1014116579400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 1014116579400 in words is "one trillion, fourteen billion, one hundred sixteen million, five hundred seventy-nine thousand, four hundred".