1009842992640 has 1120 divisors, whose sum is σ = 3844966942080. Its totient is φ = 253832527872.

The previous prime is 1009842992623. The next prime is 1009842992659. The reversal of 1009842992640 is 462992489001.

1009842992640 is a `hidden beast` number, since 1 + 0 + 0 + 98 + 4 + 299 + 264 + 0 = 666.

It is a super-2 number, since 2×1009842992640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 2543684922 + ... + 2543685318.

Almost surely, 2^{1009842992640} is an apocalyptic number.

1009842992640 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 1009842992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922483471040).

1009842992640 is an abundant number, since it is smaller than the sum of its proper divisors (2835123949440).

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

1009842992640 is an frugal number, since it uses more digits than its factorization.

1009842992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1009842992640 in words is "one trillion, nine billion, eight hundred forty-two million, nine hundred ninety-two thousand, six hundred forty".