244130414400 has 336 divisors, whose sum is σ = 891925145280. Its totient is φ = 64956672000.

The previous prime is 244130414351. The next prime is 244130414413. The reversal of 244130414400 is 4414031442.

244130414400 is a `hidden beast` number, since 244 + 1 + 3 + 0 + 4 + 14 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20168350 + ... + 20180450.

Almost surely, 2^244130414400 is an apocalyptic number.

244130414400 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 244130414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445962572640).

244130414400 is an abundant number, since it is smaller than the sum of its proper divisors (647794730880).

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

244130414400 is a wasteful number, since it uses less digits than its factorization.

244130414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12578 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 244130414400 its reverse (4414031442), we get a palindrome (248544445842).

The spelling of 244130414400 in words is "two hundred forty-four billion, one hundred thirty million, four hundred fourteen thousand, four hundred".