10401411600 has 180 divisors, whose sum is σ = 36279672000. Its totient is φ = 2759581440.

The previous prime is 10401411593. The next prime is 10401411613. The reversal of 10401411600 is 611410401.

10401411600 is a `hidden beast` number, since 1 + 0 + 40 + 14 + 11 + 600 = 666.

10401411600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10401411600² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 709141 + ... + 723659.

Almost surely, 2^10401411600 is an apocalyptic number.

10401411600 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 10401411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139836000).

10401411600 is an abundant number, since it is smaller than the sum of its proper divisors (25878260400).

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

10401411600 is a wasteful number, since it uses less digits than its factorization.

10401411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14742 (or 14728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 10401411600 in words is "ten billion, four hundred one million, four hundred eleven thousand, six hundred".