40729039968 has 96 divisors (see below), whose sum is σ = 112357276416. Its totient is φ = 12902174208.

The previous prime is 40729039963. The next prime is 40729039999. The reversal of 40729039968 is 86993092704.

40729039968 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40729039963) 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, 19405 + ... + 286067.

It is an arithmetic number, because the mean of its divisors is an integer number (1170388296).

Almost surely, 2^40729039968 is an apocalyptic number.

40729039968 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 40729039968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56178638208).

40729039968 is an abundant number, since it is smaller than the sum of its proper divisors (71628236448).

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

40729039968 is a wasteful number, since it uses less digits than its factorization.

40729039968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266756 (or 266748 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 40729039968 in words is "forty billion, seven hundred twenty-nine million, thirty-nine thousand, nine hundred sixty-eight".