42253200235224 has 72 divisors (see below), whose sum is σ = 125784750726180. Its totient is φ = 12804000068640.

The previous prime is 42253200235193. The next prime is 42253200235229.

42253200235224 is a `hidden beast` number, since 4 + 225 + 3 + 200 + 2 + 3 + 5 + 224 = 666.

42253200235224 is nontrivially palindromic in base 10.

42253200235224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (42253200235229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2424991302 + ... + 2425008725.

Almost surely, 2^{42253200235224} is an apocalyptic number.

42253200235224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42253200235224 is an abundant number, since it is smaller than the sum of its proper divisors (83531550490956).

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

42253200235224 is a wasteful number, since it uses less digits than its factorization.

42253200235224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850000061 (or 4850000043 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 42253200 and 235224, that added together give a palindrome (42488424).

The spelling of 42253200235224 in words is "forty-two trillion, two hundred fifty-three billion, two hundred million, two hundred thirty-five thousand, two hundred twenty-four".