40042252224 has 336 divisors, whose sum is σ = 132000540672. Its totient is φ = 11508811776.

The previous prime is 40042252199. The next prime is 40042252231. The reversal of 40042252224 is 42225224004.

40042252224 is a `hidden beast` number, since 400 + 4 + 2 + 252 + 2 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7402929 + ... + 7408335.

It is an arithmetic number, because the mean of its divisors is an integer number (392858752).

Almost surely, 2^40042252224 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 40042252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66000270336).

40042252224 is an abundant number, since it is smaller than the sum of its proper divisors (91958288448).

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

40042252224 is a wasteful number, since it uses less digits than its factorization.

40042252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 40042252224 its reverse (42225224004), we get a palindrome (82267476228).

The spelling of 40042252224 in words is "forty billion, forty-two million, two hundred fifty-two thousand, two hundred twenty-four".