40329200768 has 32 divisors (see below), whose sum is σ = 80764024320. Its totient is φ = 20059014400.

The previous prime is 40329200767. The next prime is 40329200777. The reversal of 40329200768 is 86700292304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (40329200761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 800348 + ... + 849243.

It is an arithmetic number, because the mean of its divisors is an integer number (2523875760).

Almost surely, 2^40329200768 is an apocalyptic number.

It is an amenable number.

40329200768 is an abundant number, since it is smaller than the sum of its proper divisors (40434823552).

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

40329200768 is a wasteful number, since it uses less digits than its factorization.

40329200768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649796 (or 1649784 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 40329200768 in words is "forty billion, three hundred twenty-nine million, two hundred thousand, seven hundred sixty-eight".