10412200800 has 432 divisors, whose sum is σ = 39144963312. Its totient is φ = 2595225600.

The previous prime is 10412200769. The next prime is 10412200829. The reversal of 10412200800 is 800221401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 31456635 + ... + 31456965.

It is an arithmetic number, because the mean of its divisors is an integer number (90613341).

Almost surely, 2^10412200800 is an apocalyptic number.

10412200800 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 10412200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572481656).

10412200800 is an abundant number, since it is smaller than the sum of its proper divisors (28732762512).

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

10412200800 is a wasteful number, since it uses less digits than its factorization.

10412200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 10412200800 in words is "ten billion, four hundred twelve million, two hundred thousand, eight hundred".