40320313440 has 192 divisors, whose sum is σ = 145848003840. Its totient is φ = 9260144640.

The previous prime is 40320313433. The next prime is 40320313471. The reversal of 40320313440 is 4431302304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40320313440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100639 + ... + 301278.

It is an arithmetic number, because the mean of its divisors is an integer number (759625020).

Almost surely, 2^40320313440 is an apocalyptic number.

40320313440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40320313440 is an abundant number, since it is smaller than the sum of its proper divisors (105527690400).

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

40320313440 is a wasteful number, since it uses less digits than its factorization.

40320313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401965 (or 401957 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40320313440 its reverse (4431302304), we get a palindrome (44751615744).

The spelling of 40320313440 in words is "forty billion, three hundred twenty million, three hundred thirteen thousand, four hundred forty".