414002004412440 has 64 divisors (see below), whose sum is σ = 1242140185956960. Its totient is φ = 110388608046080.

The previous prime is 414002004412439. The next prime is 414002004412481. The reversal of 414002004412440 is 44214400200414.

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 = 414002004412398 and 414002004412407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185235531 + ... + 187457210.

Almost surely, 2^{414002004412440} is an apocalyptic number.

414002004412440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414002004412440 is an abundant number, since it is smaller than the sum of its proper divisors (828138181544520).

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

414002004412440 is a wasteful number, since it uses less digits than its factorization.

414002004412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372702012 (or 372702008 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 414002004412440 its reverse (44214400200414), we get a palindrome (458216404612854).

The spelling of 414002004412440 in words is "four hundred fourteen trillion, two billion, four million, four hundred twelve thousand, four hundred forty".