40659822720 has 640 divisors, whose sum is σ = 160058954880. Its totient is φ = 9754214400.

The previous prime is 40659822703. The next prime is 40659822727. The reversal of 40659822720 is 2722895604.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (40659822727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64436805 + ... + 64437435.

It is an arithmetic number, because the mean of its divisors is an integer number (250092117).

Almost surely, 2^40659822720 is an apocalyptic number.

40659822720 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 40659822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80029477440).

40659822720 is an abundant number, since it is smaller than the sum of its proper divisors (119399132160).

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

40659822720 is a wasteful number, since it uses less digits than its factorization.

40659822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40659822720 in words is "forty billion, six hundred fifty-nine million, eight hundred twenty-two thousand, seven hundred twenty".