10231408800 has 432 divisors, whose sum is σ = 39302172000. Its totient is φ = 2494679040.

The previous prime is 10231408787. The next prime is 10231408823. The reversal of 10231408800 is 880413201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3965911 + ... + 3968489.

It is an arithmetic number, because the mean of its divisors is an integer number (90977250).

Almost surely, 2^10231408800 is an apocalyptic number.

10231408800 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 10231408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651086000).

10231408800 is an abundant number, since it is smaller than the sum of its proper divisors (29070763200).

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

10231408800 is a wasteful number, since it uses less digits than its factorization.

10231408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10231408800 in words is "ten billion, two hundred thirty-one million, four hundred eight thousand, eight hundred".