4288144920 has 32 divisors (see below), whose sum is σ = 12864435120. Its totient is φ = 1143505280.

The previous prime is 4288144879. The next prime is 4288144937. The reversal of 4288144920 is 294418824.

It is a super-3 number, since 3×4288144920³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17867151 + ... + 17867390.

Almost surely, 2^4288144920 is an apocalyptic number.

4288144920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4288144920 is an abundant number, since it is smaller than the sum of its proper divisors (8576290200).

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

4288144920 is a wasteful number, since it uses less digits than its factorization.

4288144920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35734555 (or 35734551 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4288144920 is about 65483.9287153726. The cubic root of 4288144920 is about 1624.6375421969.

The spelling of 4288144920 in words is "four billion, two hundred eighty-eight million, one hundred forty-four thousand, nine hundred twenty".