40592929104 has 480 divisors, whose sum is σ = 148602155520. Its totient is φ = 10053808128.

The previous prime is 40592929061. The next prime is 40592929109. The reversal of 40592929104 is 40192929504.

40592929104 is a `hidden beast` number, since 40 + 592 + 9 + 2 + 9 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40592929104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40592929109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14059149 + ... + 14062035.

It is an arithmetic number, because the mean of its divisors is an integer number (309587824).

Almost surely, 2^40592929104 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 40592929104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74301077760).

40592929104 is an abundant number, since it is smaller than the sum of its proper divisors (108009226416).

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

40592929104 is a wasteful number, since it uses less digits than its factorization.

40592929104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 40592929104 in words is "forty billion, five hundred ninety-two million, nine hundred twenty-nine thousand, one hundred four".