414024410141142 has 64 divisors (see below), whose sum is σ = 877059027532800. Its totient is φ = 129845355969536.

The previous prime is 414024410141119. The next prime is 414024410141143. The reversal of 414024410141142 is 241141014420414.

It is a happy number.

It is a super-2 number, since 2×414024410141142² (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 (414024410141143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9874866583 + ... + 9874908509.

It is an arithmetic number, because the mean of its divisors is an integer number (13704047305200).

Almost surely, 2^{414024410141142} is an apocalyptic number.

414024410141142 is an abundant number, since it is smaller than the sum of its proper divisors (463034617391658).

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

414024410141142 is a wasteful number, since it uses less digits than its factorization.

414024410141142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72925.

The product of its (nonzero) digits is 16384, while the sum is 33.

Adding to 414024410141142 its reverse (241141014420414), we get a palindrome (655165424561556).

The spelling of 414024410141142 in words is "four hundred fourteen trillion, twenty-four billion, four hundred ten million, one hundred forty-one thousand, one hundred forty-two".