4394978723200 has 768 divisors, whose sum is σ = 12545197056000. Its totient is φ = 1509720883200.

The previous prime is 4394978723173. The next prime is 4394978723221. The reversal of 4394978723200 is 23278794934.

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, 3576060186 + ... + 3576061414.

It is an arithmetic number, because the mean of its divisors is an integer number (16334892000).

Almost surely, 2^{4394978723200} is an apocalyptic number.

4394978723200 is a gapful number since it is divisible by the number (40) 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 4394978723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272598528000).

4394978723200 is an abundant number, since it is smaller than the sum of its proper divisors (8150218332800).

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

4394978723200 is a wasteful number, since it uses less digits than its factorization.

4394978723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 4394978723200 in words is "four trillion, three hundred ninety-four billion, nine hundred seventy-eight million, seven hundred twenty-three thousand, two hundred".