4376144256 has 128 divisors (see below), whose sum is σ = 12714226560. Its totient is φ = 1322618880.

The previous prime is 4376144231. The next prime is 4376144263. The reversal of 4376144256 is 6524416734.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929235 + ... + 1931501.

It is an arithmetic number, because the mean of its divisors is an integer number (99329895).

Almost surely, 2^4376144256 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 4376144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357113280).

4376144256 is an abundant number, since it is smaller than the sum of its proper divisors (8338082304).

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

4376144256 is a wasteful number, since it uses less digits than its factorization.

4376144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2740 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 4376144256 is about 66152.4319734354. The cubic root of 4376144256 is about 1635.6757307509.

The spelling of 4376144256 in words is "four billion, three hundred seventy-six million, one hundred forty-four thousand, two hundred fifty-six".