40320137960 has 64 divisors (see below), whose sum is σ = 92618225280. Its totient is φ = 15791875840.

The previous prime is 40320137903. The next prime is 40320137981. The reversal of 40320137960 is 6973102304.

It is a super-2 number, since 2×40320137960² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40320137960.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1047455 + ... + 1085265.

It is an arithmetic number, because the mean of its divisors is an integer number (1447159770).

Almost surely, 2^40320137960 is an apocalyptic number.

40320137960 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 40320137960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309112640).

40320137960 is an abundant number, since it is smaller than the sum of its proper divisors (52298087320).

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

40320137960 is a wasteful number, since it uses less digits than its factorization.

40320137960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38378 (or 38374 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 40320137960 in words is "forty billion, three hundred twenty million, one hundred thirty-seven thousand, nine hundred sixty".