42401122110424 has 64 divisors (see below), whose sum is σ = 99128998252800. Its totient is φ = 16518335702400.

The previous prime is 42401122110419. The next prime is 42401122110437.

42401122110424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42401122110392 and 42401122110401.

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, 3152134 + ... + 9733354.

It is an arithmetic number, because the mean of its divisors is an integer number (1548890597700).

Almost surely, 2^{42401122110424} is an apocalyptic number.

42401122110424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42401122110424 is an abundant number, since it is smaller than the sum of its proper divisors (56727876142376).

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

42401122110424 is a wasteful number, since it uses less digits than its factorization.

42401122110424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591704 (or 6591700 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 4240112 and 2110424, that added together give a palindrome (6350536).

The spelling of 42401122110424 in words is "forty-two trillion, four hundred one billion, one hundred twenty-two million, one hundred ten thousand, four hundred twenty-four".