814028032800 has 432 divisors, whose sum is σ = 3072827826432. Its totient is φ = 210070195200.

The previous prime is 814028032733. The next prime is 814028032817. The reversal of 814028032800 is 8230820418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5958862 + ... + 6093938.

It is an arithmetic number, because the mean of its divisors is an integer number (7113027376).

Almost surely, 2^814028032800 is an apocalyptic number.

814028032800 is a gapful number since it is divisible by the number (80) 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 814028032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536413913216).

814028032800 is an abundant number, since it is smaller than the sum of its proper divisors (2258799793632).

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

814028032800 is a wasteful number, since it uses less digits than its factorization.

814028032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135143 (or 135118 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 814028032800 in words is "eight hundred fourteen billion, twenty-eight million, thirty-two thousand, eight hundred".