40768786296 has 64 divisors (see below), whose sum is σ = 129424723200. Its totient is φ = 11648224224.

The previous prime is 40768786291. The next prime is 40768786297. The reversal of 40768786296 is 69268786704.

40768786296 is a `hidden beast` number, since 407 + 6 + 87 + 8 + 62 + 96 = 666.

40768786296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40768786291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13480230 + ... + 13483253.

It is an arithmetic number, because the mean of its divisors is an integer number (2022261300).

Almost surely, 2^40768786296 is an apocalyptic number.

It is an amenable number.

40768786296 is an abundant number, since it is smaller than the sum of its proper divisors (88655936904).

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

40768786296 is a wasteful number, since it uses less digits than its factorization.

40768786296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26963505 (or 26963495 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 40768786296 in words is "forty billion, seven hundred sixty-eight million, seven hundred eighty-six thousand, two hundred ninety-six".