414314210000 has 100 divisors (see below), whose sum is σ = 1004943215232. Its totient is φ = 165420528000.

The previous prime is 414314209999. The next prime is 414314210017. The reversal of 414314210000 is 12413414.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5432129 + ... + 5507871.

Almost surely, 2^414314210000 is an apocalyptic number.

414314210000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414314210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502471607616).

414314210000 is an abundant number, since it is smaller than the sum of its proper divisors (590629005232).

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

414314210000 is an equidigital number, since it uses as much as digits as its factorization.

414314210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76318 (or 76297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414314210000 its reverse (12413414), we get a palindrome (414326623414).

The spelling of 414314210000 in words is "four hundred fourteen billion, three hundred fourteen million, two hundred ten thousand".