10421983992 has 256 divisors, whose sum is σ = 31644057600. Its totient is φ = 2798115840.

The previous prime is 10421983967. The next prime is 10421983993. The reversal of 10421983992 is 29938912401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421983993) 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 63 ways as a sum of consecutive naturals, for example, 30034363 + ... + 30034709.

It is an arithmetic number, because the mean of its divisors is an integer number (123609600).

Almost surely, 2^10421983992 is an apocalyptic number.

10421983992 is a gapful number since it is divisible by the number (12) 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 10421983992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15822028800).

10421983992 is an abundant number, since it is smaller than the sum of its proper divisors (21222073608).

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

10421983992 is a wasteful number, since it uses less digits than its factorization.

10421983992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 10421983992 in words is "ten billion, four hundred twenty-one million, nine hundred eighty-three thousand, nine hundred ninety-two".