444406340136396 has 144 divisors (see below), whose sum is σ = 1202346652066560. Its totient is φ = 126675800570880.

The previous prime is 444406340136301. The next prime is 444406340136401. The reversal of 444406340136396 is 693631043604444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64751050 + ... + 71284718.

It is an arithmetic number, because the mean of its divisors is an integer number (8349629528240).

Almost surely, 2^{444406340136396} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444406340136396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601173326033280).

444406340136396 is an abundant number, since it is smaller than the sum of its proper divisors (757940311930164).

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

444406340136396 is a wasteful number, since it uses less digits than its factorization.

444406340136396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6535504 (or 6535485 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 57.

The spelling of 444406340136396 in words is "four hundred forty-four trillion, four hundred six billion, three hundred forty million, one hundred thirty-six thousand, three hundred ninety-six".