42145211254124 has 48 divisors (see below), whose sum is σ = 85271619071520. Its totient is φ = 18013170293760.

The previous prime is 42145211254121. The next prime is 42145211254127.

42145211254124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42145211254121) and next prime (42145211254127).

It is not an unprimeable number, because it can be changed into a prime (42145211254121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25553927 + ... + 27153150.

It is an arithmetic number, because the mean of its divisors is an integer number (1776492063990).

Almost surely, 2^{42145211254124} is an apocalyptic number.

42145211254124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42145211254124 is an abundant number, since it is smaller than the sum of its proper divisors (43126407817396).

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

42145211254124 is a wasteful number, since it uses less digits than its factorization.

42145211254124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52708178 (or 52708176 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 4214521 and 1254124, that added together give a palindrome (5468645).

The spelling of 42145211254124 in words is "forty-two trillion, one hundred forty-five billion, two hundred eleven million, two hundred fifty-four thousand, one hundred twenty-four".