42632411423624 has 128 divisors (see below), whose sum is σ = 93470483433600. Its totient is φ = 18013745725440.

The previous prime is 42632411423519. The next prime is 42632411423647.

42632411423624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42632411423624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467943644 + ... + 468034740.

It is an arithmetic number, because the mean of its divisors is an integer number (730238151825).

Almost surely, 2^{42632411423624} is an apocalyptic number.

42632411423624 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 42632411423624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46735241716800).

42632411423624 is an abundant number, since it is smaller than the sum of its proper divisors (50838072009976).

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

42632411423624 is a wasteful number, since it uses less digits than its factorization.

42632411423624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94983 (or 94979 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

It can be divided in two parts, 4263241 and 1423624, that added together give a palindrome (5686865).

The spelling of 42632411423624 in words is "forty-two trillion, six hundred thirty-two billion, four hundred eleven million, four hundred twenty-three thousand, six hundred twenty-four".