10307404800 has 1188 divisors, whose sum is σ = 47397810096. Its totient is φ = 2115993600.

The previous prime is 10307404769. The next prime is 10307404817. The reversal of 10307404800 is 840470301.

It is a super-2 number, since 2×10307404800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 124185559 + ... + 124185641.

Almost surely, 2^10307404800 is an apocalyptic number.

10307404800 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 10307404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698905048).

10307404800 is an abundant number, since it is smaller than the sum of its proper divisors (37090405296).

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

10307404800 is a wasteful number, since it uses less digits than its factorization.

10307404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10307404800 in words is "ten billion, three hundred seven million, four hundred four thousand, eight hundred".