4381625556 has 384 divisors, whose sum is σ = 14793891840. Its totient is φ = 1088640000.

The previous prime is 4381625537. The next prime is 4381625569. The reversal of 4381625556 is 6555261834.

4381625556 is a `hidden beast` number, since 4 + 38 + 1 + 62 + 5 + 556 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 24207786 + ... + 24207966.

It is an arithmetic number, because the mean of its divisors is an integer number (38525760).

Almost surely, 2^4381625556 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 4381625556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396945920).

4381625556 is an abundant number, since it is smaller than the sum of its proper divisors (10412266284).

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

4381625556 is a wasteful number, since it uses less digits than its factorization.

4381625556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 4381625556 is about 66193.8483244478. The cubic root of 4381625556 is about 1636.3583627810.

The spelling of 4381625556 in words is "four billion, three hundred eighty-one million, six hundred twenty-five thousand, five hundred fifty-six".