4287319920 has 120 divisors (see below), whose sum is σ = 15505840896. Its totient is φ = 1055337984.

The previous prime is 4287319867. The next prime is 4287319957. The reversal of 4287319920 is 299137824.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4287319920² = 36762224192857612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219664 + ... + 238383.

Almost surely, 2^4287319920 is an apocalyptic number.

4287319920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4287319920 is an abundant number, since it is smaller than the sum of its proper divisors (11218520976).

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

4287319920 is a wasteful number, since it uses less digits than its factorization.

4287319920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458079 (or 458070 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4287319920 is about 65477.6291568349. The cubic root of 4287319920 is about 1624.5333470292.

The spelling of 4287319920 in words is "four billion, two hundred eighty-seven million, three hundred nineteen thousand, nine hundred twenty".