42466744766424 has 128 divisors (see below), whose sum is σ = 118954175155200. Its totient is φ = 12520322979840.

The previous prime is 42466744766399. The next prime is 42466744766431.

42466744766424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42466744766424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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, 237634497 + ... + 237813135.

It is an arithmetic number, because the mean of its divisors is an integer number (929329493400).

Almost surely, 2^{42466744766424} is an apocalyptic number.

42466744766424 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 42466744766424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59477087577600).

42466744766424 is an abundant number, since it is smaller than the sum of its proper divisors (76487430388776).

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

42466744766424 is a wasteful number, since it uses less digits than its factorization.

42466744766424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203033 (or 203029 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 66.

The spelling of 42466744766424 in words is "forty-two trillion, four hundred sixty-six billion, seven hundred forty-four million, seven hundred sixty-six thousand, four hundred twenty-four".