842870886400 has 351 divisors, whose sum is σ = 2220562759653. Its totient is φ = 317288448000.

The previous prime is 842870886359. The next prime is 842870886421. The reversal of 842870886400 is 4688078248.

The square root of 842870886400 is 918080.

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., 303433519104 + 539437367296 = 550848^2 + 734464^2 .

It is a super-2 number, since 2×842870886400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5581926325 + ... + 5581926475.

Almost surely, 2^842870886400 is an apocalyptic number.

842870886400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

842870886400 is the 918080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842870886400

842870886400 is an abundant number, since it is smaller than the sum of its proper divisors (1377691873253).

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

842870886400 is an equidigital number, since it uses as much as digits as its factorization.

842870886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 55.

The spelling of 842870886400 in words is "eight hundred forty-two billion, eight hundred seventy million, eight hundred eighty-six thousand, four hundred".