100410014400 has 336 divisors, whose sum is σ = 361851244800. Its totient is φ = 24263331840.

The previous prime is 100410014399. The next prime is 100410014407. The reversal of 100410014400 is 4410014001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100410014400.

It is not an unprimeable number, because it can be changed into a prime (100410014407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2073666 + ... + 2121534.

Almost surely, 2^100410014400 is an apocalyptic number.

100410014400 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 100410014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180925622400).

100410014400 is an abundant number, since it is smaller than the sum of its proper divisors (261441230400).

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

100410014400 is a wasteful number, since it uses less digits than its factorization.

100410014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47936 (or 47921 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100410014400 its reverse (4410014001), we get a palindrome (104820028401).

The spelling of 100410014400 in words is "one hundred billion, four hundred ten million, fourteen thousand, four hundred".