9994278200400 has 1440 divisors, whose sum is σ = 39930714270720. Its totient is φ = 2295971758080.

The previous prime is 9994278200341. The next prime is 9994278200419. The reversal of 9994278200400 is 40028724999.

9994278200400 is a `hidden beast` number, since 9 + 9 + 9 + 4 + 27 + 8 + 200 + 400 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 13634758434 + ... + 13634759166.

It is an arithmetic number, because the mean of its divisors is an integer number (27729662688).

Almost surely, 2^{9994278200400} is an apocalyptic number.

9994278200400 is a gapful number since it is divisible by the number (90) 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 9994278200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965357135360).

9994278200400 is an abundant number, since it is smaller than the sum of its proper divisors (29936436070320).

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

9994278200400 is a wasteful number, since it uses less digits than its factorization.

9994278200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 9994278200400 in words is "nine trillion, nine hundred ninety-four billion, two hundred seventy-eight million, two hundred thousand, four hundred".