40052807424 has 864 divisors, whose sum is σ = 148565114880. Its totient is φ = 10507677696.

The previous prime is 40052807423. The next prime is 40052807429. The reversal of 40052807424 is 42470825004.

40052807424 is a `hidden beast` number, since 40 + 0 + 528 + 0 + 74 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40052807423) 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, 388862157 + ... + 388862259.

Almost surely, 2^40052807424 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 40052807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74282557440).

40052807424 is an abundant number, since it is smaller than the sum of its proper divisors (108512307456).

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

40052807424 is a wasteful number, since it uses less digits than its factorization.

40052807424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 40052807424 in words is "forty billion, fifty-two million, eight hundred seven thousand, four hundred twenty-four".