414244144000 has 128 divisors (see below), whose sum is σ = 1030321094400. Its totient is φ = 165632256000.

The previous prime is 414244143917. The next prime is 414244144003. The reversal of 414244144000 is 441442414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 414244144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414244144003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74221210 + ... + 74226790.

It is an arithmetic number, because the mean of its divisors is an integer number (8049383550).

Almost surely, 2^414244144000 is an apocalyptic number.

414244144000 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 414244144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515160547200).

414244144000 is an abundant number, since it is smaller than the sum of its proper divisors (616076950400).

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

414244144000 is an equidigital number, since it uses as much as digits as its factorization.

414244144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10249 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 414244144000 its reverse (441442414), we get a palindrome (414685586414).

The spelling of 414244144000 in words is "four hundred fourteen billion, two hundred forty-four million, one hundred forty-four thousand".