4002812800 has 96 divisors (see below), whose sum is σ = 11300861520. Its totient is φ = 1372385280.

The previous prime is 4002812791. The next prime is 4002812819. The reversal of 4002812800 is 82182004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66949 + ... + 111748.

Almost surely, 2^4002812800 is an apocalyptic number.

4002812800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002812800 is an abundant number, since it is smaller than the sum of its proper divisors (7298048720).

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

4002812800 is a wasteful number, since it uses less digits than its factorization.

4002812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178728 (or 178711 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 4002812800 is about 63267.7864319592. The cubic root of 4002812800 is about 1587.7730515917.

Adding to 4002812800 its reverse (82182004), we get a palindrome (4084994804).

The spelling of 4002812800 in words is "four billion, two million, eight hundred twelve thousand, eight hundred".