10410408800 has 144 divisors (see below), whose sum is σ = 28475021232. Its totient is φ = 3683174400.

The previous prime is 10410408761. The next prime is 10410408817. The reversal of 10410408800 is 880401401.

It is a super-2 number, since 2×10410408800² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10410408800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309614 + ... + 341586.

It is an arithmetic number, because the mean of its divisors is an integer number (197743203).

Almost surely, 2^10410408800 is an apocalyptic number.

10410408800 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 10410408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14237510616).

10410408800 is an abundant number, since it is smaller than the sum of its proper divisors (18064612432).

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

10410408800 is a wasteful number, since it uses less digits than its factorization.

10410408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32041 (or 32028 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 10410408800 in words is "ten billion, four hundred ten million, four hundred eight thousand, eight hundred".