40339900608 has 224 divisors, whose sum is σ = 126583586304. Its totient is φ = 11097243648.

The previous prime is 40339900591. The next prime is 40339900621. The reversal of 40339900608 is 80600993304.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40339900608.

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, 4819435 + ... + 4827797.

It is an arithmetic number, because the mean of its divisors is an integer number (565105296).

Almost surely, 2^40339900608 is an apocalyptic number.

40339900608 is a gapful number since it is divisible by the number (48) 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 40339900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63291793152).

40339900608 is an abundant number, since it is smaller than the sum of its proper divisors (86243685696).

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

40339900608 is a wasteful number, since it uses less digits than its factorization.

40339900608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519 (or 8509 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 40339900608 in words is "forty billion, three hundred thirty-nine million, nine hundred thousand, six hundred eight".