40529009664 has 1056 divisors, whose sum is σ = 153218048256. Its totient is φ = 10510663680.

The previous prime is 40529009663. The next prime is 40529009683. The reversal of 40529009664 is 46690092504.

40529009664 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 (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40529009663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604910559 + ... + 604910625.

Almost surely, 2^40529009664 is an apocalyptic number.

40529009664 is a gapful number since it is divisible by the number (44) 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 40529009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76609024128).

40529009664 is an abundant number, since it is smaller than the sum of its proper divisors (112689038592).

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

40529009664 is a wasteful number, since it uses less digits than its factorization.

40529009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 40529009664 in words is "forty billion, five hundred twenty-nine million, nine thousand, six hundred sixty-four".