4003921152 has 288 divisors, whose sum is σ = 14763893760. Its totient is φ = 1039841280.

The previous prime is 4003921109. The next prime is 4003921171. The reversal of 4003921152 is 2511293004.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 528463 + ... + 535985.

It is an arithmetic number, because the mean of its divisors is an integer number (51263520).

Almost surely, 2^4003921152 is an apocalyptic number.

4003921152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381946880).

4003921152 is an abundant number, since it is smaller than the sum of its proper divisors (10759972608).

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

4003921152 is a wasteful number, since it uses less digits than its factorization.

4003921152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4003921152 is about 63276.5450384264. The cubic root of 4003921152 is about 1587.9195859683.

The spelling of 4003921152 in words is "four billion, three million, nine hundred twenty-one thousand, one hundred fifty-two".