414013224540 has 48 divisors (see below), whose sum is σ = 1209638642688. Its totient is φ = 105603372864.

The previous prime is 414013224529. The next prime is 414013224557. The reversal of 414013224540 is 45422310414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 414013224498 and 414013224507.

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, 150003412 + ... + 150006171.

It is an arithmetic number, because the mean of its divisors is an integer number (25200805056).

Almost surely, 2^414013224540 is an apocalyptic number.

It is an amenable number.

414013224540 is an abundant number, since it is smaller than the sum of its proper divisors (795625418148).

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

414013224540 is a wasteful number, since it uses less digits than its factorization.

414013224540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300009618 (or 300009616 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 414013224540 its reverse (45422310414), we get a palindrome (459435534954).

The spelling of 414013224540 in words is "four hundred fourteen billion, thirteen million, two hundred twenty-four thousand, five hundred forty".