10401540415200 has 360 divisors, whose sum is σ = 41380797787560. Its totient is φ = 2521585382400.

The previous prime is 10401540415169. The next prime is 10401540415243. The reversal of 10401540415200 is 251404510401.

10401540415200 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 5 + 40 + 415 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6583455 + ... + 8009054.

It is an arithmetic number, because the mean of its divisors is an integer number (114946660521).

Almost surely, 2^{10401540415200} is an apocalyptic number.

10401540415200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401540415200 is an abundant number, since it is smaller than the sum of its proper divisors (30979257372360).

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

10401540415200 is a wasteful number, since it uses less digits than its factorization.

10401540415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592552 (or 14592530 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10401540415200 its reverse (251404510401), we get a palindrome (10652944925601).

The spelling of 10401540415200 in words is "ten trillion, four hundred one billion, five hundred forty million, four hundred fifteen thousand, two hundred".