40768912032 has 96 divisors (see below), whose sum is σ = 113376195072. Its totient is φ = 12783181824.

The previous prime is 40768912003. The next prime is 40768912073. The reversal of 40768912032 is 23021986704.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3491548 + ... + 3503204.

It is an arithmetic number, because the mean of its divisors is an integer number (1181002032).

Almost surely, 2^40768912032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40768912032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56688097536).

40768912032 is an abundant number, since it is smaller than the sum of its proper divisors (72607283040).

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

40768912032 is a wasteful number, since it uses less digits than its factorization.

40768912032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 40768912032 in words is "forty billion, seven hundred sixty-eight million, nine hundred twelve thousand, thirty-two".