42225111152224 has 96 divisors (see below), whose sum is σ = 111616028165376. Its totient is φ = 15185854149120.

The previous prime is 42225111152179. The next prime is 42225111152299.

42225111152224 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42225111152224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659076222 + ... + 659140285.

It is an arithmetic number, because the mean of its divisors is an integer number (1162666960056).

Almost surely, 2^{42225111152224} is an apocalyptic number.

42225111152224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42225111152224 is an abundant number, since it is smaller than the sum of its proper divisors (69390917013152).

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

42225111152224 is a wasteful number, since it uses less digits than its factorization.

42225111152224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318216548 (or 1318216540 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

It can be divided in two parts, 4222511 and 1152224, that added together give a palindrome (5374735).

The spelling of 42225111152224 in words is "forty-two trillion, two hundred twenty-five billion, one hundred eleven million, one hundred fifty-two thousand, two hundred twenty-four".