414013203240 has 128 divisors (see below), whose sum is σ = 1528664175360. Its totient is φ = 87352233984.

The previous prime is 414013203119. The next prime is 414013203259. The reversal of 414013203240 is 42302310414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 414013203240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18945729 + ... + 18967568.

It is an arithmetic number, because the mean of its divisors is an integer number (11942688870).

Almost surely, 2^414013203240 is an apocalyptic number.

414013203240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414013203240 is an abundant number, since it is smaller than the sum of its proper divisors (1114650972120).

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

414013203240 is a wasteful number, since it uses less digits than its factorization.

414013203240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37913331 (or 37913327 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 414013203240 its reverse (42302310414), we get a palindrome (456315513654).

The spelling of 414013203240 in words is "four hundred fourteen billion, thirteen million, two hundred three thousand, two hundred forty".