10134100413040 has 80 divisors (see below), whose sum is σ = 23602482219456. Its totient is φ = 4046642432000.

The previous prime is 10134100413007. The next prime is 10134100413061. The reversal of 10134100413040 is 4031400143101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162893940 + ... + 162956140.

Almost surely, 2^{10134100413040} is an apocalyptic number.

10134100413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134100413040 is an abundant number, since it is smaller than the sum of its proper divisors (13468381806416).

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

10134100413040 is a wasteful number, since it uses less digits than its factorization.

10134100413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65698 (or 65692 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10134100413040 its reverse (4031400143101), we get a palindrome (14165500556141).

The spelling of 10134100413040 in words is "ten trillion, one hundred thirty-four billion, one hundred million, four hundred thirteen thousand, forty".