242142400413414 has 24 divisors (see below), whose sum is σ = 524677482953832. Its totient is φ = 80708654180160.

The previous prime is 242142400413413. The next prime is 242142400413509. The reversal of 242142400413414 is 414314004241242.

242142400413414 is a `hidden beast` number, since 2 + 4 + 214 + 2 + 400 + 4 + 1 + 34 + 1 + 4 = 666.

It is a super-2 number, since 2×242142400413414² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242142400413413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456335059 + ... + 456865374.

It is an arithmetic number, because the mean of its divisors is an integer number (21861561789743).

Almost surely, 2^{242142400413414} is an apocalyptic number.

242142400413414 is an abundant number, since it is smaller than the sum of its proper divisors (282535082540418).

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

242142400413414 is a wasteful number, since it uses less digits than its factorization.

242142400413414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913215172 (or 913215169 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 242142400413414 its reverse (414314004241242), we get a palindrome (656456404654656).

The spelling of 242142400413414 in words is "two hundred forty-two trillion, one hundred forty-two billion, four hundred million, four hundred thirteen thousand, four hundred fourteen".