842209998400 has 63 divisors (see below), whose sum is σ = 2072453307841. Its totient is φ = 336869315840.

The previous prime is 842209998359. The next prime is 842209998401. The reversal of 842209998400 is 4899902248.

The square root of 842209998400 is 917720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 303195599424 + 539014398976 = 550632^2 + 734176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (842209998401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36697329 + ... + 36720271.

Almost surely, 2^842209998400 is an apocalyptic number.

842209998400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

842209998400 is the 917720-th square number.

It is an amenable number.

842209998400 is an abundant number, since it is smaller than the sum of its proper divisors (1230243309441).

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

842209998400 is an frugal number, since it uses more digits than its factorization.

842209998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45908 (or 22950 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 842209998400 in words is "eight hundred forty-two billion, two hundred nine million, nine hundred ninety-eight thousand, four hundred".