4003152972 has 96 divisors (see below), whose sum is σ = 11511628800. Its totient is φ = 1054363392.

The previous prime is 4003152947. The next prime is 4003152973. The reversal of 4003152972 is 2792513004.

4003152972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4003152973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001554 + ... + 1005542.

It is an arithmetic number, because the mean of its divisors is an integer number (119912800).

Almost surely, 2^4003152972 is an apocalyptic number.

4003152972 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 4003152972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755814400).

4003152972 is an abundant number, since it is smaller than the sum of its proper divisors (7508475828).

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

4003152972 is a wasteful number, since it uses less digits than its factorization.

4003152972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 4003152972 is about 63270.4747255780. The cubic root of 4003152972 is about 1587.8180283503.

Adding to 4003152972 its reverse (2792513004), we get a palindrome (6795665976).

The spelling of 4003152972 in words is "four billion, three million, one hundred fifty-two thousand, nine hundred seventy-two".