414024013140 has 48 divisors (see below), whose sum is σ = 1159703008128. Its totient is φ = 110364901504.

The previous prime is 414024013129. The next prime is 414024013153. The reversal of 414024013140 is 41310420414.

It is a self number, because there is not a number n which added to its sum of digits gives 414024013140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135827 + ... + 1455386.

It is an arithmetic number, because the mean of its divisors is an integer number (24160479336).

Almost surely, 2^414024013140 is an apocalyptic number.

It is an amenable number.

414024013140 is an abundant number, since it is smaller than the sum of its proper divisors (745678994988).

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

414024013140 is a wasteful number, since it uses less digits than its factorization.

414024013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593888 (or 2593886 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414024013140 its reverse (41310420414), we get a palindrome (455334433554).

The spelling of 414024013140 in words is "four hundred fourteen billion, twenty-four million, thirteen thousand, one hundred forty".