4444334400312 has 48 divisors (see below), whose sum is σ = 12037231702080. Its totient is φ = 1481384160000.

The previous prime is 4444334400277. The next prime is 4444334400391. The reversal of 4444334400312 is 2130044334444.

4444334400312 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 334 + 4 + 0 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525312 + ... + 3027312.

It is an arithmetic number, because the mean of its divisors is an integer number (250775660460).

Almost surely, 2^{4444334400312} is an apocalyptic number.

It is an amenable number.

4444334400312 is an abundant number, since it is smaller than the sum of its proper divisors (7592897301768).

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

4444334400312 is a wasteful number, since it uses less digits than its factorization.

4444334400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526684 (or 2526677 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4444334400312 its reverse (2130044334444), we get a palindrome (6574378734756).

The spelling of 4444334400312 in words is "four trillion, four hundred forty-four billion, three hundred thirty-four million, four hundred thousand, three hundred twelve".