8400222164800 has 42 divisors (see below), whose sum is σ = 20669796668198. Its totient is φ = 3360088865280.

The previous prime is 8400222164777. The next prime is 8400222164861. The reversal of 8400222164800 is 84612220048.

It can be written as a sum of positive squares in 3 ways, for example, as 181496448576 + 8218725716224 = 426024^2 + 2866832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8400222164800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2625067827 + ... + 2625071026.

Almost surely, 2^{8400222164800} is an apocalyptic number.

8400222164800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8400222164800 is an abundant number, since it is smaller than the sum of its proper divisors (12269574503398).

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

8400222164800 is a wasteful number, since it uses less digits than its factorization.

8400222164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250138875 (or 5250138860 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

Adding to 8400222164800 its reverse (84612220048), we get a palindrome (8484834384848).

The spelling of 8400222164800 in words is "eight trillion, four hundred billion, two hundred twenty-two million, one hundred sixty-four thousand, eight hundred".