40331311020 has 2160 divisors, whose sum is σ = 194174275680. Its totient is φ = 6897623040.

The previous prime is 40331311019. The next prime is 40331311043. The reversal of 40331311020 is 2011313304.

40331311020 is a `hidden beast` number, since 4 + 0 + 331 + 311 + 0 + 20 = 666.

It is a super-2 number, since 2×40331311020² (a number of 22 digits) contains 22 as substring.

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 = 40331310984 and 40331311002.

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 719 ways as a sum of consecutive naturals, for example, 2122700571 + ... + 2122700589.

It is an arithmetic number, because the mean of its divisors is an integer number (89895498).

Almost surely, 2^40331311020 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 40331311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97087137840).

40331311020 is an abundant number, since it is smaller than the sum of its proper divisors (153842964660).

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

40331311020 is a wasteful number, since it uses less digits than its factorization.

40331311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

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

Adding to 40331311020 its reverse (2011313304), we get a palindrome (42342624324).

The spelling of 40331311020 in words is "forty billion, three hundred thirty-one million, three hundred eleven thousand, twenty".