4260438000 has 1200 divisors, whose sum is σ = 20120003904. Its totient is φ = 846028800.

The previous prime is 4260437947. The next prime is 4260438011. The reversal of 4260438000 is 8340624.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 250613992 + ... + 250614008.

Almost surely, 2^4260438000 is an apocalyptic number.

4260438000 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 4260438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10060001952).

4260438000 is an abundant number, since it is smaller than the sum of its proper divisors (15859565904).

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

4260438000 is a wasteful number, since it uses less digits than its factorization.

4260438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4260438000 is about 65272.0307635667. The cubic root of 4260438000 is about 1621.1308975965.

Adding to 4260438000 its reverse (8340624), we get a palindrome (4268778624).

The spelling of 4260438000 in words is "four billion, two hundred sixty million, four hundred thirty-eight thousand".