414344505500032 has 32 divisors (see below), whose sum is σ = 835397148723480. Its totient is φ = 204676201506816.

The previous prime is 414344505499987. The next prime is 414344505500033. The reversal of 414344505500032 is 230005505443414.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414344505500033) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 19500389673 + ... + 19500410920.

Almost surely, 2^{414344505500032} is an apocalyptic number.

It is an amenable number.

414344505500032 is an abundant number, since it is smaller than the sum of its proper divisors (421052643223448).

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

414344505500032 is an equidigital number, since it uses as much as digits as its factorization.

414344505500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39000800690 (or 39000800678 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 414344505500032 in words is "four hundred fourteen trillion, three hundred forty-four billion, five hundred five million, five hundred thousand, thirty-two".