40013312020 has 192 divisors, whose sum is σ = 97756243200. Its totient is φ = 13619773440.

The previous prime is 40013311993. The next prime is 40013312039. The reversal of 40013312020 is 2021331004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40013311985 and 40013312003.

It is a congruent number.

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, 43070916 + ... + 43071844.

It is an arithmetic number, because the mean of its divisors is an integer number (509147100).

Almost surely, 2^40013312020 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 40013312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48878121600).

40013312020 is an abundant number, since it is smaller than the sum of its proper divisors (57742931180).

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

40013312020 is a wasteful number, since it uses less digits than its factorization.

40013312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 40013312020 its reverse (2021331004), we get a palindrome (42034643024).

The spelling of 40013312020 in words is "forty billion, thirteen million, three hundred twelve thousand, twenty".