4003452544 has 256 divisors, whose sum is σ = 10277487360. Its totient is φ = 1511424000.

The previous prime is 4003452533. The next prime is 4003452569. The reversal of 4003452544 is 4452543004.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39638094 + ... + 39638194.

It is an arithmetic number, because the mean of its divisors is an integer number (40146435).

Almost surely, 2^4003452544 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 4003452544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138743680).

4003452544 is an abundant number, since it is smaller than the sum of its proper divisors (6274034816).

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

4003452544 is a wasteful number, since it uses less digits than its factorization.

4003452544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 4003452544 is about 63272.8420730411. The cubic root of 4003452544 is about 1587.8576349604.

Adding to 4003452544 its reverse (4452543004), we get a palindrome (8455995548).

The spelling of 4003452544 in words is "four billion, three million, four hundred fifty-two thousand, five hundred forty-four".