40820221431 has 40 divisors (see below), whose sum is σ = 66603867264. Its totient is φ = 24709024080.

The previous prime is 40820221423. The next prime is 40820221493. The reversal of 40820221431 is 13412202804.

40820221431 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 0 + 221 + 431 = 666.

It is not a de Polignac number, because 40820221431 - 2³ = 40820221423 is a prime.

It is a super-2 number, since 2×40820221431² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40820221395 and 40820221404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40820221411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 705460 + ... + 761126.

Almost surely, 2^40820221431 is an apocalyptic number.

40820221431 is a deficient number, since it is larger than the sum of its proper divisors (25783645833).

40820221431 is a wasteful number, since it uses less digits than its factorization.

40820221431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56513 (or 56504 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 40820221431 in words is "forty billion, eight hundred twenty million, two hundred twenty-one thousand, four hundred thirty-one".