4271120640 has 216 divisors, whose sum is σ = 14827176000. Its totient is φ = 1135153152.

The previous prime is 4271120627. The next prime is 4271120657. The reversal of 4271120640 is 460211724.

4271120640 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 12 + 0 + 640 = 666.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5748109 + ... + 5748851.

Almost surely, 2^4271120640 is an apocalyptic number.

4271120640 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 4271120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413588000).

4271120640 is an abundant number, since it is smaller than the sum of its proper divisors (10556055360).

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

4271120640 is a wasteful number, since it uses less digits than its factorization.

4271120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4271120640 is about 65353.8112125070. The cubic root of 4271120640 is about 1622.4847101645.

The spelling of 4271120640 in words is "four billion, two hundred seventy-one million, one hundred twenty thousand, six hundred forty".