1020117822640 has 160 divisors (see below), whose sum is σ = 2727947828736. Its totient is φ = 347522488320.

The previous prime is 1020117822629. The next prime is 1020117822643. The reversal of 1020117822640 is 462287110201.

It is a junction number, because it is equal to n+sod(n) for n = 1020117822596 and 1020117822605.

It is not an unprimeable number, because it can be changed into a prime (1020117822643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64057719 + ... + 64073641.

Almost surely, 2^{1020117822640} is an apocalyptic number.

1020117822640 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 1020117822640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363973914368).

1020117822640 is an abundant number, since it is smaller than the sum of its proper divisors (1707830006096).

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

1020117822640 is a wasteful number, since it uses less digits than its factorization.

1020117822640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16667 (or 16661 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 1020117822640 in words is "one trillion, twenty billion, one hundred seventeen million, eight hundred twenty-two thousand, six hundred forty".