40414304331 has 48 divisors (see below), whose sum is σ = 62558496000. Its totient is φ = 25064769600.

The previous prime is 40414304309. The next prime is 40414304339. The reversal of 40414304331 is 13340341404.

It is not a de Polignac number, because 40414304331 - 2⁶ = 40414304267 is a prime.

It is a super-2 number, since 2×40414304331² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40414304295 and 40414304304.

It is not an unprimeable number, because it can be changed into a prime (40414304339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13124250 + ... + 13127328.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302000).

Almost surely, 2^40414304331 is an apocalyptic number.

40414304331 is a deficient number, since it is larger than the sum of its proper divisors (22144191669).

40414304331 is a wasteful number, since it uses less digits than its factorization.

40414304331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40414304331 its reverse (13340341404), we get a palindrome (53754645735).

The spelling of 40414304331 in words is "forty billion, four hundred fourteen million, three hundred four thousand, three hundred thirty-one".