4270641840 has 640 divisors, whose sum is σ = 16456089600. Its totient is φ = 1014266880.

The previous prime is 4270641797. The next prime is 4270641917. The reversal of 4270641840 is 481460724.

4270641840 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 641 + 8 + 4 + 0 = 666.

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 = 4270641795 and 4270641804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72383731 + ... + 72383789.

It is an arithmetic number, because the mean of its divisors is an integer number (25712640).

Almost surely, 2^4270641840 is an apocalyptic number.

4270641840 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 4270641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228044800).

4270641840 is an abundant number, since it is smaller than the sum of its proper divisors (12185447760).

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

4270641840 is a wasteful number, since it uses less digits than its factorization.

4270641840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4270641840 is about 65350.1479722885. The cubic root of 4270641840 is about 1622.4240801195.

The spelling of 4270641840 in words is "four billion, two hundred seventy million, six hundred forty-one thousand, eight hundred forty".