1020326340456 has 96 divisors (see below), whose sum is σ = 2796331005000. Its totient is φ = 336058939392.

The previous prime is 1020326340329. The next prime is 1020326340499. The reversal of 1020326340456 is 6540436230201.

1020326340456 is a `hidden beast` number, since 10 + 2 + 0 + 3 + 2 + 634 + 0 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1017407099556 + 2919240900 = 1008666^2 + 54030^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020326340456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9513820 + ... + 9620468.

Almost surely, 2^{1020326340456} 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 1020326340456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398165502500).

1020326340456 is an abundant number, since it is smaller than the sum of its proper divisors (1776004664544).

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

1020326340456 is a wasteful number, since it uses less digits than its factorization.

1020326340456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108243 (or 108236 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1020326340456 in words is "one trillion, twenty billion, three hundred twenty-six million, three hundred forty thousand, four hundred fifty-six".