40361712768 has 384 divisors, whose sum is σ = 133326648000. Its totient is φ = 11616804864.

The previous prime is 40361712763. The next prime is 40361712821. The reversal of 40361712768 is 86721716304.

40361712768 is a `hidden beast` number, since 4 + 0 + 3 + 617 + 1 + 27 + 6 + 8 = 666.

40361712768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (40361712763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23616298 + ... + 23618006.

Almost surely, 2^40361712768 is an apocalyptic number.

40361712768 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 40361712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66663324000).

40361712768 is an abundant number, since it is smaller than the sum of its proper divisors (92964935232).

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

40361712768 is a wasteful number, since it uses less digits than its factorization.

40361712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40361712768 in words is "forty billion, three hundred sixty-one million, seven hundred twelve thousand, seven hundred sixty-eight".