42135444453124 has 192 divisors, whose sum is σ = 86355457896960. Its totient is φ = 17799664762880.

The previous prime is 42135444453121. The next prime is 42135444453127.

42135444453124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42135444453121) and next prime (42135444453127).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (42135444453121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2384701362 + ... + 2384719030.

It is an arithmetic number, because the mean of its divisors is an integer number (449768009880).

Almost surely, 2^{42135444453124} is an apocalyptic number.

42135444453124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42135444453124 is an abundant number, since it is smaller than the sum of its proper divisors (44220013443836).

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

42135444453124 is a wasteful number, since it uses less digits than its factorization.

42135444453124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18190 (or 18188 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4213544 and 4453124, that added together give a palindrome (8666668).

The spelling of 42135444453124 in words is "forty-two trillion, one hundred thirty-five billion, four hundred forty-four million, four hundred fifty-three thousand, one hundred twenty-four".