40525452504 has 192 divisors, whose sum is σ = 112733337600. Its totient is φ = 13149216000.

The previous prime is 40525452503. The next prime is 40525452521.

40525452504 is a `hidden beast` number, since 4 + 0 + 52 + 54 + 52 + 504 = 666.

40525452504 is nontrivially palindromic in base 10.

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 (40525452503) 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 47 ways as a sum of consecutive naturals, for example, 212175049 + ... + 212175239.

It is an arithmetic number, because the mean of its divisors is an integer number (587152800).

Almost surely, 2^40525452504 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 40525452504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56366668800).

40525452504 is an abundant number, since it is smaller than the sum of its proper divisors (72207885096).

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

40525452504 is a wasteful number, since it uses less digits than its factorization.

40525452504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 40525452 and 504, that added together give a square (40525956 = 6366²).

The spelling of 40525452504 in words is "forty billion, five hundred twenty-five million, four hundred fifty-two thousand, five hundred four".