2427968444400 has 480 divisors, whose sum is σ = 9205015841280. Its totient is φ = 605715886080.

The previous prime is 2427968444399. The next prime is 2427968444441. The reversal of 2427968444400 is 44448697242.

2427968444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 30621607 + ... + 30700793.

It is an arithmetic number, because the mean of its divisors is an integer number (19177116336).

Almost surely, 2^{2427968444400} is an apocalyptic number.

2427968444400 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 2427968444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602507920640).

2427968444400 is an abundant number, since it is smaller than the sum of its proper divisors (6777047396880).

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

2427968444400 is a wasteful number, since it uses less digits than its factorization.

2427968444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79398 (or 79381 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 2427968444400 in words is "two trillion, four hundred twenty-seven billion, nine hundred sixty-eight million, four hundred forty-four thousand, four hundred".