414343014000 has 80 divisors (see below), whose sum is σ = 1335841896480. Its totient is φ = 110491468800.

The previous prime is 414343013999. The next prime is 414343014053. The reversal of 414343014000 is 410343414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34522585 + ... + 34534584.

It is an arithmetic number, because the mean of its divisors is an integer number (16698023706).

Almost surely, 2^414343014000 is an apocalyptic number.

414343014000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414343014000 is an abundant number, since it is smaller than the sum of its proper divisors (921498882480).

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

414343014000 is a wasteful number, since it uses less digits than its factorization.

414343014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69057195 (or 69057179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 414343014000 its reverse (410343414), we get a palindrome (414753357414).

The spelling of 414343014000 in words is "four hundred fourteen billion, three hundred forty-three million, fourteen thousand".