42672444427624 has 128 divisors (see below), whose sum is σ = 88243984742400. Its totient is φ = 19184503242240.

The previous prime is 42672444427537. The next prime is 42672444427643.

42672444427624 is nontrivially palindromic in base 10.

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, 5039849839 + ... + 5039858305.

It is an arithmetic number, because the mean of its divisors is an integer number (689406130800).

Almost surely, 2^{42672444427624} is an apocalyptic number.

42672444427624 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 42672444427624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44121992371200).

42672444427624 is an abundant number, since it is smaller than the sum of its proper divisors (45571540314776).

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

42672444427624 is a wasteful number, since it uses less digits than its factorization.

42672444427624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103 (or 10099 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 58.

The spelling of 42672444427624 in words is "forty-two trillion, six hundred seventy-two billion, four hundred forty-four million, four hundred twenty-seven thousand, six hundred twenty-four".