40320665040 has 160 divisors (see below), whose sum is σ = 129421716480. Its totient is φ = 10371981312.

The previous prime is 40320665029. The next prime is 40320665071. The reversal of 40320665040 is 4056602304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40320664989 and 40320665007.

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, 10904472 + ... + 10908168.

It is an arithmetic number, because the mean of its divisors is an integer number (808885728).

Almost surely, 2^40320665040 is an apocalyptic number.

40320665040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64710858240).

40320665040 is an abundant number, since it is smaller than the sum of its proper divisors (89101051440).

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

40320665040 is a wasteful number, since it uses less digits than its factorization.

40320665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 40320665040 in words is "forty billion, three hundred twenty million, six hundred sixty-five thousand, forty".