4271262240 has 768 divisors, whose sum is σ = 17473978368. Its totient is φ = 854654976.

The previous prime is 4271262227. The next prime is 4271262293. The reversal of 4271262240 is 422621724.

It is a super-2 number, since 2×4271262240² = 36487362245699635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4271262198 and 4271262207.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90877897 + ... + 90877943.

It is an arithmetic number, because the mean of its divisors is an integer number (22752576).

Almost surely, 2^4271262240 is an apocalyptic number.

4271262240 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 4271262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736989184).

4271262240 is an abundant number, since it is smaller than the sum of its proper divisors (13202716128).

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

4271262240 is a wasteful number, since it uses less digits than its factorization.

4271262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4271262240 is about 65354.8945374407. The cubic root of 4271262240 is about 1622.5026399863.

Adding to 4271262240 its reverse (422621724), we get a palindrome (4693883964).

The spelling of 4271262240 in words is "four billion, two hundred seventy-one million, two hundred sixty-two thousand, two hundred forty".