869218464400 has 480 divisors, whose sum is σ = 2504562197760. Its totient is φ = 285745152000.

The previous prime is 869218464397. The next prime is 869218464431. The reversal of 869218464400 is 4464812968.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 575259645 + ... + 575261155.

It is an arithmetic number, because the mean of its divisors is an integer number (5217837912).

Almost surely, 2^869218464400 is an apocalyptic number.

869218464400 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 869218464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252281098880).

869218464400 is an abundant number, since it is smaller than the sum of its proper divisors (1635343733360).

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

869218464400 is a wasteful number, since it uses less digits than its factorization.

869218464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 869218464400 in words is "eight hundred sixty-nine billion, two hundred eighteen million, four hundred sixty-four thousand, four hundred".