4002252440 has 64 divisors (see below), whose sum is σ = 9067593600. Its totient is φ = 1589833728.

The previous prime is 4002252413. The next prime is 4002252451. The reversal of 4002252440 is 442522004.

4002252440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4946756 + ... + 4947564.

It is an arithmetic number, because the mean of its divisors is an integer number (141681150).

Almost surely, 2^4002252440 is an apocalyptic number.

4002252440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002252440 is an abundant number, since it is smaller than the sum of its proper divisors (5065341160).

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

4002252440 is a wasteful number, since it uses less digits than its factorization.

4002252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 4002252440 is about 63263.3577989661. The cubic root of 4002252440 is about 1587.6989565263.

Adding to 4002252440 its reverse (442522004), we get a palindrome (4444774444).

The spelling of 4002252440 in words is "four billion, two million, two hundred fifty-two thousand, four hundred forty".