4259980800 has 180 divisors, whose sum is σ = 15245707620. Its totient is φ = 1135964160.

The previous prime is 4259980691. The next prime is 4259980807. The reversal of 4259980800 is 80899524.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4259980807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96711 + ... + 133689.

Almost surely, 2^4259980800 is an apocalyptic number.

4259980800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4259980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622853810).

4259980800 is an abundant number, since it is smaller than the sum of its proper divisors (10985726820).

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

4259980800 is a wasteful number, since it uses less digits than its factorization.

4259980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37013 (or 36989 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4259980800 is about 65268.5284038180. The cubic root of 4259980800 is about 1621.0729060973.

The spelling of 4259980800 in words is "four billion, two hundred fifty-nine million, nine hundred eighty thousand, eight hundred".