414024010040 has 32 divisors (see below), whose sum is σ = 932902209360. Its totient is φ = 165369926400.

The previous prime is 414024010039. The next prime is 414024010069. The reversal of 414024010040 is 40010420414.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 414024009994 and 414024010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7461941 + ... + 7517220.

Almost surely, 2^414024010040 is an apocalyptic number.

414024010040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414024010040 is an abundant number, since it is smaller than the sum of its proper divisors (518878199320).

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

414024010040 is a wasteful number, since it uses less digits than its factorization.

414024010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14979863 (or 14979859 counting only the distinct ones).

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

Adding to 414024010040 its reverse (40010420414), we get a palindrome (454034430454).

The spelling of 414024010040 in words is "four hundred fourteen billion, twenty-four million, ten thousand, forty".