10415714400 has 864 divisors, whose sum is σ = 47253538080. Its totient is φ = 2194698240.

The previous prime is 10415714399. The next prime is 10415714461. The reversal of 10415714400 is 441751401.

10415714400 is a `hidden beast` number, since 10 + 41 + 571 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13758822 + ... + 13759578.

It is an arithmetic number, because the mean of its divisors is an integer number (54691595).

Almost surely, 2^10415714400 is an apocalyptic number.

10415714400 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 10415714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23626769040).

10415714400 is an abundant number, since it is smaller than the sum of its proper divisors (36837823680).

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

10415714400 is a wasteful number, since it uses less digits than its factorization.

10415714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10415714400 in words is "ten billion, four hundred fifteen million, seven hundred fourteen thousand, four hundred".