869122742400 has 2304 divisors, whose sum is σ = 3828579955200. Its totient is φ = 192297369600.

The previous prime is 869122742399. The next prime is 869122742459. The reversal of 869122742400 is 4247221968.

869122742400 is a `hidden beast` number, since 86 + 9 + 122 + 7 + 42 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6252681531 + ... + 6252681669.

It is an arithmetic number, because the mean of its divisors is an integer number (1661710050).

Almost surely, 2^869122742400 is an apocalyptic number.

869122742400 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 869122742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914289977600).

869122742400 is an abundant number, since it is smaller than the sum of its proper divisors (2959457212800).

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

869122742400 is a wasteful number, since it uses less digits than its factorization.

869122742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 869122742400 in words is "eight hundred sixty-nine billion, one hundred twenty-two million, seven hundred forty-two thousand, four hundred".