40101313032 has 256 divisors, whose sum is σ = 123147475200. Its totient is φ = 11990384640.

The previous prime is 40101312973. The next prime is 40101313051. The reversal of 40101313032 is 23031310104.

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

It is a junction number, because it is equal to n+sod(n) for n = 40101312996 and 40101313014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71994898 + ... + 71995454.

It is an arithmetic number, because the mean of its divisors is an integer number (481044825).

Almost surely, 2^40101313032 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 40101313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61573737600).

40101313032 is an abundant number, since it is smaller than the sum of its proper divisors (83046162168).

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

40101313032 is a wasteful number, since it uses less digits than its factorization.

40101313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 40101313032 its reverse (23031310104), we get a palindrome (63132623136).

The spelling of 40101313032 in words is "forty billion, one hundred one million, three hundred thirteen thousand, thirty-two".