40007221704252 has 144 divisors (see below), whose sum is σ = 115131101799168. Its totient is φ = 11595136988160.

The previous prime is 40007221704167. The next prime is 40007221704253. The reversal of 40007221704252 is 25240712270004.

40007221704252 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 7 + 221 + 7 + 0 + 425 + 2 = 666.

40007221704252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (40007221704253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93078828 + ... + 93507660.

It is an arithmetic number, because the mean of its divisors is an integer number (799521540272).

Almost surely, 2^{40007221704252} 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 40007221704252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57565550899584).

40007221704252 is an abundant number, since it is smaller than the sum of its proper divisors (75123880094916).

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

40007221704252 is a wasteful number, since it uses less digits than its factorization.

40007221704252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439120 (or 439115 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

Adding to 40007221704252 its reverse (25240712270004), we get a palindrome (65247933974256).

The spelling of 40007221704252 in words is "forty trillion, seven billion, two hundred twenty-one million, seven hundred four thousand, two hundred fifty-two".