40539960720 has 480 divisors, whose sum is σ = 163636312320. Its totient is φ = 8798146560.

The previous prime is 40539960697. The next prime is 40539960733. The reversal of 40539960720 is 2706993504.

It is a happy number.

40539960720 is a `hidden beast` number, since 4 + 0 + 5 + 39 + 9 + 607 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 8913487 + ... + 8918033.

It is an arithmetic number, because the mean of its divisors is an integer number (340908984).

Almost surely, 2^40539960720 is an apocalyptic number.

40539960720 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 40539960720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81818156160).

40539960720 is an abundant number, since it is smaller than the sum of its proper divisors (123096351600).

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

40539960720 is a wasteful number, since it uses less digits than its factorization.

40539960720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 40539960720 in words is "forty billion, five hundred thirty-nine million, nine hundred sixty thousand, seven hundred twenty".