1009902416832 has 84 divisors (see below), whose sum is σ = 3001914200376. Its totient is φ = 336634133760.

The previous prime is 1009902416821. The next prime is 1009902416833. The reversal of 1009902416832 is 2386142099001.

It is a super-2 number, since 2×1009902416832² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009902416833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32453019 + ... + 32484122.

It is an arithmetic number, because the mean of its divisors is an integer number (35737073814).

Almost surely, 2^{1009902416832} is an apocalyptic number.

1009902416832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009902416832 is an abundant number, since it is smaller than the sum of its proper divisors (1992011783544).

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

1009902416832 is an frugal number, since it uses more digits than its factorization.

1009902416832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64937168 (or 64937146 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1009902416832 in words is "one trillion, nine billion, nine hundred two million, four hundred sixteen thousand, eight hundred thirty-two".