1013418639144 has 160 divisors (see below), whose sum is σ = 2910917255400. Its totient is φ = 329207224320.

The previous prime is 1013418639127. The next prime is 1013418639283. The reversal of 1013418639144 is 4419368143101.

1013418639144 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 1 + 8 + 639 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251572464900 + 761846174244 = 501570^2 + 872838^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1013418639144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24873862 + ... + 24914570.

Almost surely, 2^{1013418639144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013418639144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455458627700).

1013418639144 is an abundant number, since it is smaller than the sum of its proper divisors (1897498616256).

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

1013418639144 is a wasteful number, since it uses less digits than its factorization.

1013418639144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41705 (or 41692 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1013418639144 in words is "one trillion, thirteen billion, four hundred eighteen million, six hundred thirty-nine thousand, one hundred forty-four".