4271466240 has 324 divisors, whose sum is σ = 15711545304. Its totient is φ = 1071218688.

The previous prime is 4271466203. The next prime is 4271466293. The reversal of 4271466240 is 426641724.

4271466240 is a `hidden beast` number, since 4 + 27 + 1 + 4 + 6 + 624 + 0 = 666.

4271466240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4271466195 and 4271466204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3328639 + ... + 3329921.

Almost surely, 2^4271466240 is an apocalyptic number.

4271466240 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 4271466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7855772652).

4271466240 is an abundant number, since it is smaller than the sum of its proper divisors (11440079064).

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

4271466240 is a wasteful number, since it uses less digits than its factorization.

4271466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4271466240 is about 65356.4552282328. The cubic root of 4271466240 is about 1622.5284703888.

The spelling of 4271466240 in words is "four billion, two hundred seventy-one million, four hundred sixty-six thousand, two hundred forty".