40645615920 has 640 divisors, whose sum is σ = 160729712640. Its totient is φ = 8267857920.

The previous prime is 40645615909. The next prime is 40645615921. The reversal of 40645615920 is 2951654604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (40645615921) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 144646180 + ... + 144646460.

It is an arithmetic number, because the mean of its divisors is an integer number (251140176).

Almost surely, 2^40645615920 is an apocalyptic number.

40645615920 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 40645615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80364856320).

40645615920 is an abundant number, since it is smaller than the sum of its proper divisors (120084096720).

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

40645615920 is a wasteful number, since it uses less digits than its factorization.

40645615920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 40645615920 in words is "forty billion, six hundred forty-five million, six hundred fifteen thousand, nine hundred twenty".