1013834742624 has 480 divisors, whose sum is σ = 3488616552960. Its totient is φ = 285553382400.

The previous prime is 1013834742577. The next prime is 1013834742673. The reversal of 1013834742624 is 4262474383101.

1013834742624 is a `hidden beast` number, since 1 + 0 + 1 + 383 + 4 + 7 + 4 + 262 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1013834742624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28693929 + ... + 28729239.

It is an arithmetic number, because the mean of its divisors is an integer number (7267951152).

Almost surely, 2^{1013834742624} 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 1013834742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744308276480).

1013834742624 is an abundant number, since it is smaller than the sum of its proper divisors (2474781810336).

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

1013834742624 is a wasteful number, since it uses less digits than its factorization.

1013834742624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35416 (or 35399 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1013834742624 in words is "one trillion, thirteen billion, eight hundred thirty-four million, seven hundred forty-two thousand, six hundred twenty-four".