1013246791920 has 640 divisors, whose sum is σ = 3877880371200. Its totient is φ = 241118208000.

The previous prime is 1013246791891. The next prime is 1013246791933. The reversal of 1013246791920 is 291976423101.

1013246791920 is a `hidden beast` number, since 1 + 0 + 13 + 2 + 467 + 91 + 92 + 0 = 666.

It is a super-2 number, since 2×1013246791920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 397194645 + ... + 397197195.

It is an arithmetic number, because the mean of its divisors is an integer number (6059188080).

Almost surely, 2^{1013246791920} is an apocalyptic number.

1013246791920 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 1013246791920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938940185600).

1013246791920 is an abundant number, since it is smaller than the sum of its proper divisors (2864633579280).

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

1013246791920 is a wasteful number, since it uses less digits than its factorization.

1013246791920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1013246791920 in words is "one trillion, thirteen billion, two hundred forty-six million, seven hundred ninety-one thousand, nine hundred twenty".