244542250414400 has 672 divisors, whose sum is σ = 654818711777280. Its totient is φ = 89679163392000.

The previous prime is 244542250414349. The next prime is 244542250414433. The reversal of 244542250414400 is 4414052245442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17379159365 + ... + 17379173435.

Almost surely, 2^{244542250414400} is an apocalyptic number.

244542250414400 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 244542250414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327409355888640).

244542250414400 is an abundant number, since it is smaller than the sum of its proper divisors (410276461362880).

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

244542250414400 is a wasteful number, since it uses less digits than its factorization.

244542250414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14403 (or 14388 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 41.

The spelling of 244542250414400 in words is "two hundred forty-four trillion, five hundred forty-two billion, two hundred fifty million, four hundred fourteen thousand, four hundred".