814144411800 has 144 divisors (see below), whose sum is σ = 2734896986640. Its totient is φ = 217047317760.

The previous prime is 814144411799. The next prime is 814144411807. The reversal of 814144411800 is 8114441418.

It is a super-2 number, since 2×814144411800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814144411807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6920269 + ... + 7036931.

It is an arithmetic number, because the mean of its divisors is an integer number (18992340185).

Almost surely, 2^814144411800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814144411800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367448493320).

814144411800 is an abundant number, since it is smaller than the sum of its proper divisors (1920752574840).

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

814144411800 is a wasteful number, since it uses less digits than its factorization.

814144411800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120562 (or 120550 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 814144411800 in words is "eight hundred fourteen billion, one hundred forty-four million, four hundred eleven thousand, eight hundred".