42122310014004 has 48 divisors (see below), whose sum is σ = 107819422341120. Its totient is φ = 12693027219040.

The previous prime is 42122310013999. The next prime is 42122310014033. The reversal of 42122310014004 is 40041001322124.

42122310014004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42122310014004² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891340644 + ... + 891387899.

It is an arithmetic number, because the mean of its divisors is an integer number (2246237965440).

Almost surely, 2^{42122310014004} is an apocalyptic number.

42122310014004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42122310014004 is an abundant number, since it is smaller than the sum of its proper divisors (65697112327116).

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

42122310014004 is a wasteful number, since it uses less digits than its factorization.

42122310014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782728740 (or 1782728738 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42122310014004 its reverse (40041001322124), we get a palindrome (82163311336128).

The spelling of 42122310014004 in words is "forty-two trillion, one hundred twenty-two billion, three hundred ten million, fourteen thousand, four".