4294727334144 has 324 divisors, whose sum is σ = 13841120966400. Its totient is φ = 1278823403520.

The previous prime is 4294727334133. The next prime is 4294727334151. The reversal of 4294727334144 is 4414337274924.

4294727334144 is a `hidden beast` number, since 4 + 2 + 94 + 72 + 73 + 3 + 414 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11892757 + ... + 12248555.

Almost surely, 2^{4294727334144} 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 4294727334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920560483200).

4294727334144 is an abundant number, since it is smaller than the sum of its proper divisors (9546393632256).

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

4294727334144 is a wasteful number, since it uses less digits than its factorization.

4294727334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355878 (or 355848 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 4294727334144 in words is "four trillion, two hundred ninety-four billion, seven hundred twenty-seven million, three hundred thirty-four thousand, one hundred forty-four".