4113984952 has 128 divisors (see below), whose sum is σ = 10034196480. Its totient is φ = 1534464000.

The previous prime is 4113984923. The next prime is 4113984991. The reversal of 4113984952 is 2594893114.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851202 + ... + 1853422.

It is an arithmetic number, because the mean of its divisors is an integer number (78392160).

Almost surely, 2^4113984952 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 4113984952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017098240).

4113984952 is an abundant number, since it is smaller than the sum of its proper divisors (5920211528).

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

4113984952 is a wasteful number, since it uses less digits than its factorization.

4113984952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2369 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 4113984952 is about 64140.3535381588. The cubic root of 4113984952 is about 1602.3383714719.

The spelling of 4113984952 in words is "four billion, one hundred thirteen million, nine hundred eighty-four thousand, nine hundred fifty-two".