4149785952 has 384 divisors, whose sum is σ = 14001361920. Its totient is φ = 1184440320.

The previous prime is 4149785947. The next prime is 4149785987. The reversal of 4149785952 is 2595879414.

It is a happy number.

4149785952 is a `hidden beast` number, since 4 + 1 + 49 + 7 + 8 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19667127 + ... + 19667337.

It is an arithmetic number, because the mean of its divisors is an integer number (36461880).

Almost surely, 2^4149785952 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 4149785952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000680960).

4149785952 is an abundant number, since it is smaller than the sum of its proper divisors (9851575968).

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

4149785952 is a wasteful number, since it uses less digits than its factorization.

4149785952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 4149785952 is about 64418.8322775258. The cubic root of 4149785952 is about 1606.9729462836.

It can be divided in two parts, 41497 and 85952, that added together give a square (127449 = 357²).

The spelling of 4149785952 in words is "four billion, one hundred forty-nine million, seven hundred eighty-five thousand, nine hundred fifty-two".