244220558400 has 2016 divisors, whose sum is σ = 1192771157760. Its totient is φ = 45864714240.

The previous prime is 244220558369. The next prime is 244220558437. The reversal of 244220558400 is 4855022442.

244220558400 is a `hidden beast` number, since 2 + 4 + 42 + 20 + 558 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×244220558400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 423258912 + ... + 423259488.

It is an arithmetic number, because the mean of its divisors is an integer number (591652360).

Almost surely, 2^244220558400 is an apocalyptic number.

244220558400 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 244220558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596385578880).

244220558400 is an abundant number, since it is smaller than the sum of its proper divisors (948550599360).

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

244220558400 is a wasteful number, since it uses less digits than its factorization.

244220558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 244220558400 in words is "two hundred forty-four billion, two hundred twenty million, five hundred fifty-eight thousand, four hundred".