414102565644 has 48 divisors (see below), whose sum is σ = 1020407203200. Its totient is φ = 130343250816.

The previous prime is 414102565637. The next prime is 414102565673. The reversal of 414102565644 is 446565201414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 414102565596 and 414102565605.

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, 2888049 + ... + 3028040.

It is an arithmetic number, because the mean of its divisors is an integer number (21258483400).

Almost surely, 2^414102565644 is an apocalyptic number.

It is an amenable number.

414102565644 is an abundant number, since it is smaller than the sum of its proper divisors (606304637556).

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

414102565644 is a wasteful number, since it uses less digits than its factorization.

414102565644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916422 (or 5916420 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 414102565644 in words is "four hundred fourteen billion, one hundred two million, five hundred sixty-five thousand, six hundred forty-four".