10421563824 has 240 divisors, whose sum is σ = 34186651200. Its totient is φ = 2962391040.

The previous prime is 10421563813. The next prime is 10421563861. The reversal of 10421563824 is 42836512401.

It is a happy number.

10421563824 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 15 + 638 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12693334 + ... + 12694154.

It is an arithmetic number, because the mean of its divisors is an integer number (142444380).

Almost surely, 2^10421563824 is an apocalyptic number.

10421563824 is a gapful number since it is divisible by the number (14) 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 10421563824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093325600).

10421563824 is an abundant number, since it is smaller than the sum of its proper divisors (23765087376).

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

10421563824 is a wasteful number, since it uses less digits than its factorization.

10421563824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10421563824 in words is "ten billion, four hundred twenty-one million, five hundred sixty-three thousand, eight hundred twenty-four".