222001780838400 has 1560 divisors, whose sum is σ = 861043364590464. Its totient is φ = 56432531865600.

The previous prime is 222001780838333. The next prime is 222001780838413. The reversal of 222001780838400 is 4838087100222.

222001780838400 is a `hidden beast` number, since 2 + 2 + 200 + 1 + 7 + 8 + 0 + 8 + 38 + 400 = 666.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 60474468565 + ... + 60474472235.

Almost surely, 2^{222001780838400} is an apocalyptic number.

222001780838400 is a gapful number since it is divisible by the number (20) 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 222001780838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430521682295232).

222001780838400 is an abundant number, since it is smaller than the sum of its proper divisors (639041583752064).

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

222001780838400 is a wasteful number, since it uses less digits than its factorization.

222001780838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 222001780838400 in words is "two hundred twenty-two trillion, one billion, seven hundred eighty million, eight hundred thirty-eight thousand, four hundred".