10413141342400 has 84 divisors (see below), whose sum is σ = 25677704644488. Its totient is φ = 4156337059840.

The previous prime is 10413141342377. The next prime is 10413141342421. The reversal of 10413141342400 is 424314131401.

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 11 ways as a sum of consecutive naturals, for example, 6220909 + ... + 7715308.

Almost surely, 2^{10413141342400} is an apocalyptic number.

10413141342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10413141342400 is an abundant number, since it is smaller than the sum of its proper divisors (15264563302088).

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

10413141342400 is a wasteful number, since it uses less digits than its factorization.

10413141342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13936706 (or 13936691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10413141342400 its reverse (424314131401), we get a palindrome (10837455473801).

The spelling of 10413141342400 in words is "ten trillion, four hundred thirteen billion, one hundred forty-one million, three hundred forty-two thousand, four hundred".