4130288800 has 72 divisors (see below), whose sum is σ = 10999733472. Its totient is φ = 1501920000.

The previous prime is 4130288797. The next prime is 4130288803. The reversal of 4130288800 is 88820314.

4130288800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4130288797) and next prime (4130288803).

It is not an unprimeable number, because it can be changed into a prime (4130288803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225876 + ... + 243475.

It is an arithmetic number, because the mean of its divisors is an integer number (152774076).

Almost surely, 2^4130288800 is an apocalyptic number.

4130288800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130288800 is an abundant number, since it is smaller than the sum of its proper divisors (6869444672).

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

4130288800 is a wasteful number, since it uses less digits than its factorization.

4130288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469382 (or 469369 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 4130288800 is about 64267.3229565383. The cubic root of 4130288800 is about 1604.4522867225.

The spelling of 4130288800 in words is "four billion, one hundred thirty million, two hundred eighty-eight thousand, eight hundred".