414015032142 has 48 divisors (see below), whose sum is σ = 898728929280. Its totient is φ = 137744187216.

The previous prime is 414015032117. The next prime is 414015032147. The reversal of 414015032142 is 241230510414.

414015032142 is a `hidden beast` number, since 4 + 14 + 0 + 1 + 503 + 2 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414015032147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54767359 + ... + 54774917.

It is an arithmetic number, because the mean of its divisors is an integer number (18723519360).

Almost surely, 2^414015032142 is an apocalyptic number.

414015032142 is an abundant number, since it is smaller than the sum of its proper divisors (484713897138).

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

414015032142 is a wasteful number, since it uses less digits than its factorization.

414015032142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12914 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 414015032142 its reverse (241230510414), we get a palindrome (655245542556).

The spelling of 414015032142 in words is "four hundred fourteen billion, fifteen million, thirty-two thousand, one hundred forty-two".