1020413605932 has 72 divisors (see below), whose sum is σ = 3077437875120. Its totient is φ = 291546743040.

The previous prime is 1020413605931. The next prime is 1020413605933. The reversal of 1020413605932 is 2395063140201.

1020413605932 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 1 + 3 + 60 + 593 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1020413605931) and next prime (1020413605933).

It is a super-2 number, since 2×1020413605932² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1020413605931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96405669 + ... + 96416252.

It is an arithmetic number, because the mean of its divisors is an integer number (42742192710).

Almost surely, 2^{1020413605932} is an apocalyptic number.

1020413605932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020413605932 is an abundant number, since it is smaller than the sum of its proper divisors (2057024269188).

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

1020413605932 is a wasteful number, since it uses less digits than its factorization.

1020413605932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192821948 (or 192821933 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1020413605932 in words is "one trillion, twenty billion, four hundred thirteen million, six hundred five thousand, nine hundred thirty-two".