4002145763 has 32 divisors (see below), whose sum is σ = 5289297408. Its totient is φ = 2931724800.

The previous prime is 4002145757. The next prime is 4002145781. The reversal of 4002145763 is 3675412004.

It is not a de Polignac number, because 4002145763 - 2¹⁴ = 4002129379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4002144763) 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, 2003081 + ... + 2005077.

It is an arithmetic number, because the mean of its divisors is an integer number (165290544).

Almost surely, 2^4002145763 is an apocalyptic number.

4002145763 is a deficient number, since it is larger than the sum of its proper divisors (1287151645).

4002145763 is a wasteful number, since it uses less digits than its factorization.

4002145763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563.

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4002145763 is about 63262.5146749637. The cubic root of 4002145763 is about 1587.6848500976.

Adding to 4002145763 its reverse (3675412004), we get a palindrome (7677557767).

The spelling of 4002145763 in words is "four billion, two million, one hundred forty-five thousand, seven hundred sixty-three".