42142132413200 has 60 divisors (see below), whose sum is σ = 101250366044340. Its totient is φ = 16856204820480.

The previous prime is 42142132413167. The next prime is 42142132413259. The reversal of 42142132413200 is 231423124124.

It can be written as a sum of positive squares in 6 ways, for example, as 5877792941056 + 36264339472144 = 2424416^2 + 6021988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8458436 + ... + 12483164.

It is an arithmetic number, because the mean of its divisors is an integer number (1687506100739).

Almost surely, 2^{42142132413200} is an apocalyptic number.

42142132413200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42142132413200 is an abundant number, since it is smaller than the sum of its proper divisors (59108233631140).

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

42142132413200 is a wasteful number, since it uses less digits than its factorization.

42142132413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050924 (or 4050913 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 42142132413200 its reverse (231423124124), we get a palindrome (42373555537324).

The spelling of 42142132413200 in words is "forty-two trillion, one hundred forty-two billion, one hundred thirty-two million, four hundred thirteen thousand, two hundred".