4204260720 has 640 divisors, whose sum is σ = 16998912000. Its totient is φ = 944317440.

The previous prime is 4204260713. The next prime is 4204260721. The reversal of 4204260720 is 270624024.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204260721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30246411 + ... + 30246549.

It is an arithmetic number, because the mean of its divisors is an integer number (26560800).

Almost surely, 2^4204260720 is an apocalyptic number.

4204260720 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 4204260720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456000).

4204260720 is an abundant number, since it is smaller than the sum of its proper divisors (12794651280).

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

4204260720 is a wasteful number, since it uses less digits than its factorization.

4204260720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4204260720 is about 64840.2708199156. The cubic root of 4204260720 is about 1613.9740463758.

Adding to 4204260720 its reverse (270624024), we get a palindrome (4474884744).

The spelling of 4204260720 in words is "four billion, two hundred four million, two hundred sixty thousand, seven hundred twenty".