40320400431 has 32 divisors (see below), whose sum is σ = 55408953600. Its totient is φ = 26069702400.

The previous prime is 40320400429. The next prime is 40320400453. The reversal of 40320400431 is 13400402304.

40320400431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40320400431 - 2¹ = 40320400429 is a prime.

It is a super-2 number, since 2×40320400431² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40320400398 and 40320400407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320400331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8670595 + ... + 8675243.

It is an arithmetic number, because the mean of its divisors is an integer number (1731529800).

Almost surely, 2^40320400431 is an apocalyptic number.

40320400431 is a deficient number, since it is larger than the sum of its proper divisors (15088553169).

40320400431 is a wasteful number, since it uses less digits than its factorization.

40320400431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40320400431 its reverse (13400402304), we get a palindrome (53720802735).

The spelling of 40320400431 in words is "forty billion, three hundred twenty million, four hundred thousand, four hundred thirty-one".