42225233252224 has 128 divisors (see below), whose sum is σ = 92308253637600. Its totient is φ = 19080351129600.

The previous prime is 42225233252197. The next prime is 42225233252269.

42225233252224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×42225233252224³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741324354 + ... + 741381310.

Almost surely, 2^{42225233252224} is an apocalyptic number.

42225233252224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225233252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46154126818800).

42225233252224 is an abundant number, since it is smaller than the sum of its proper divisors (50083020385376).

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

42225233252224 is a wasteful number, since it uses less digits than its factorization.

42225233252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60072 (or 60060 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

It can be divided in two parts, 4222523 and 3252224, that added together give a palindrome (7474747).

The spelling of 42225233252224 in words is "forty-two trillion, two hundred twenty-five billion, two hundred thirty-three million, two hundred fifty-two thousand, two hundred twenty-four".