4399311429144 has 192 divisors, whose sum is σ = 12175128014400. Its totient is φ = 1434765201408.

The previous prime is 4399311429133. The next prime is 4399311429173. The reversal of 4399311429144 is 4419241139934.

4399311429144 is a `hidden beast` number, since 4 + 39 + 9 + 311 + 4 + 291 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539834564 + ... + 1539837420.

It is an arithmetic number, because the mean of its divisors is an integer number (63412125075).

Almost surely, 2^{4399311429144} 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 4399311429144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087564007200).

4399311429144 is an abundant number, since it is smaller than the sum of its proper divisors (7775816585256).

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

4399311429144 is a wasteful number, since it uses less digits than its factorization.

4399311429144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5387 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 4399311429144 in words is "four trillion, three hundred ninety-nine billion, three hundred eleven million, four hundred twenty-nine thousand, one hundred forty-four".