40113131004032 has 128 divisors (see below), whose sum is σ = 83349974668800. Its totient is φ = 19208294277120.

The previous prime is 40113131004019. The next prime is 40113131004071. The reversal of 40113131004032 is 23040013131104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 40113131003989 and 40113131004007.

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, 172519598 + ... + 172751954.

It is an arithmetic number, because the mean of its divisors is an integer number (651171677100).

Almost surely, 2^{40113131004032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40113131004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41674987334400).

40113131004032 is an abundant number, since it is smaller than the sum of its proper divisors (43236843664768).

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

40113131004032 is a wasteful number, since it uses less digits than its factorization.

40113131004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232854 (or 232842 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 40113131004032 its reverse (23040013131104), we get a palindrome (63153144135136).

The spelling of 40113131004032 in words is "forty trillion, one hundred thirteen billion, one hundred thirty-one million, four thousand, thirty-two".