1020830874624 has 220 divisors, whose sum is σ = 3325530866328. Its totient is φ = 309342412800.

The previous prime is 1020830874607. The next prime is 1020830874671. The reversal of 1020830874624 is 4264780380201.

It is a happy number.

1020830874624 is a `hidden beast` number, since 10 + 2 + 0 + 8 + 3 + 0 + 8 + 7 + 4 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1020830874624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352954 + ... + 1471814.

Almost surely, 2^{1020830874624} 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 1020830874624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662765433164).

1020830874624 is an abundant number, since it is smaller than the sum of its proper divisors (2304699991704).

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

1020830874624 is a wasteful number, since it uses less digits than its factorization.

1020830874624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118904 (or 1118877 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1020830874624 in words is "one trillion, twenty billion, eight hundred thirty million, eight hundred seventy-four thousand, six hundred twenty-four".