414040001240 has 32 divisors (see below), whose sum is σ = 933262566480. Its totient is φ = 165318655872.

The previous prime is 414040001231. The next prime is 414040001257. The reversal of 414040001240 is 42100040414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9269462 + ... + 9314021.

Almost surely, 2^414040001240 is an apocalyptic number.

414040001240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414040001240 is an abundant number, since it is smaller than the sum of its proper divisors (519222565240).

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

414040001240 is a wasteful number, since it uses less digits than its factorization.

414040001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18584051 (or 18584047 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 414040001240 its reverse (42100040414), we get a palindrome (456140041654).

The spelling of 414040001240 in words is "four hundred fourteen billion, forty million, one thousand, two hundred forty".