444099274869600 has 432 divisors, whose sum is σ = 1806446455527168. Its totient is φ = 100559727774720.

The previous prime is 444099274869599. The next prime is 444099274869661. The reversal of 444099274869600 is 6968472990444.

It is a happy number.

444099274869600 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 9 + 9 + 2 + 7 + 4 + 8 + 6 + 9 + 600 = 666.

It is a super-3 number, since 3×444099274869600³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35782404 + ... + 46568003.

It is an arithmetic number, because the mean of its divisors is an integer number (4181589017424).

Almost surely, 2^{444099274869600} is an apocalyptic number.

444099274869600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444099274869600 is an abundant number, since it is smaller than the sum of its proper divisors (1362347180657568).

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

444099274869600 is a wasteful number, since it uses less digits than its factorization.

444099274869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82350547 (or 82350531 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 444099274869600 in words is "four hundred forty-four trillion, ninety-nine billion, two hundred seventy-four million, eight hundred sixty-nine thousand, six hundred".