4401857376 has 216 divisors, whose sum is σ = 15328829880. Its totient is φ = 1191407616.

The previous prime is 4401857359. The next prime is 4401857377. The reversal of 4401857376 is 6737581044.

4401857376 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 8 + 573 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401857377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259920 + ... + 276336.

It is an arithmetic number, because the mean of its divisors is an integer number (70966805).

Almost surely, 2^4401857376 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 4401857376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664414940).

4401857376 is an abundant number, since it is smaller than the sum of its proper divisors (10926972504).

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

4401857376 is a wasteful number, since it uses less digits than its factorization.

4401857376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16466 (or 16448 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4401857376 is about 66346.4948282877. The cubic root of 4401857376 is about 1638.8730826533.

It can be divided in two parts, 440185 and 7376, that added together give a square (447561 = 669²).

The spelling of 4401857376 in words is "four billion, four hundred one million, eight hundred fifty-seven thousand, three hundred seventy-six".