42142400350144 has 56 divisors (see below), whose sum is σ = 85205747737008. Its totient is φ = 20673250191360.

The previous prime is 42142400350027. The next prime is 42142400350163. The reversal of 42142400350144 is 44105300424124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302588364 + ... + 302727604.

Almost surely, 2^{42142400350144} is an apocalyptic number.

It is an amenable number.

42142400350144 is an abundant number, since it is smaller than the sum of its proper divisors (43063347386864).

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

42142400350144 is a wasteful number, since it uses less digits than its factorization.

42142400350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228533 (or 228523 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 42142400350144 its reverse (44105300424124), we get a palindrome (86247700774268).

The spelling of 42142400350144 in words is "forty-two trillion, one hundred forty-two billion, four hundred million, three hundred fifty thousand, one hundred forty-four".