4394667999744 has 1280 divisors, whose sum is σ = 15977577369600. Its totient is φ = 1176610406400.

The previous prime is 4394667999713. The next prime is 4394667999751. The reversal of 4394667999744 is 4479997664934.

4394667999744 is a `hidden beast` number, since 4 + 394 + 6 + 6 + 79 + 99 + 74 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2724529882 + ... + 2724531494.

It is an arithmetic number, because the mean of its divisors is an integer number (12482482320).

Almost surely, 2^{4394667999744} is an apocalyptic number.

4394667999744 is a gapful number since it is divisible by the number (44) 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 4394667999744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988788684800).

4394667999744 is an abundant number, since it is smaller than the sum of its proper divisors (11582909369856).

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

4394667999744 is a wasteful number, since it uses less digits than its factorization.

4394667999744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1712 counting only the distinct ones).

The product of its digits is 8888527872, while the sum is 81.

The spelling of 4394667999744 in words is "four trillion, three hundred ninety-four billion, six hundred sixty-seven million, nine hundred ninety-nine thousand, seven hundred forty-four".