42633244233624 has 128 divisors (see below), whose sum is σ = 119422824595200. Its totient is φ = 12569172963840.

The previous prime is 42633244233623. The next prime is 42633244233659.

It is a happy number.

42633244233624 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42633244233623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157510534 + ... + 157780970.

It is an arithmetic number, because the mean of its divisors is an integer number (932990817150).

Almost surely, 2^{42633244233624} is an apocalyptic number.

42633244233624 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 42633244233624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59711412297600).

42633244233624 is an abundant number, since it is smaller than the sum of its proper divisors (76789580361576).

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

42633244233624 is a wasteful number, since it uses less digits than its factorization.

42633244233624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286633 (or 286629 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

It can be divided in two parts, 4263324 and 4233624, that added together give a palindrome (8496948).

The spelling of 42633244233624 in words is "forty-two trillion, six hundred thirty-three billion, two hundred forty-four million, two hundred thirty-three thousand, six hundred twenty-four".