1026620434944 has 640 divisors, whose sum is σ = 3407141928960. Its totient is φ = 303077376000.

The previous prime is 1026620434907. The next prime is 1026620434969. The reversal of 1026620434944 is 4494340266201.

1026620434944 is a `hidden beast` number, since 1 + 0 + 2 + 66 + 204 + 349 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1026620434944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707525419 + ... + 707526869.

It is an arithmetic number, because the mean of its divisors is an integer number (5323659264).

Almost surely, 2^{1026620434944} 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 1026620434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703570964480).

1026620434944 is an abundant number, since it is smaller than the sum of its proper divisors (2380521494016).

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

1026620434944 is a wasteful number, since it uses less digits than its factorization.

1026620434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1026620434944 in words is "one trillion, twenty-six billion, six hundred twenty million, four hundred thirty-four thousand, nine hundred forty-four".