4270112640 has 192 divisors, whose sum is σ = 15291909360. Its totient is φ = 1138655232.

The previous prime is 4270112629. The next prime is 4270112677. The reversal of 4270112640 is 462110724.

4270112640 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 1 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 141792 + ... + 169248.

Almost surely, 2^4270112640 is an apocalyptic number.

4270112640 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 4270112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645954680).

4270112640 is an abundant number, since it is smaller than the sum of its proper divisors (11021796720).

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

4270112640 is an equidigital number, since it uses as much as digits as its factorization.

4270112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27491 (or 27467 counting only the distinct ones).

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

The square root of 4270112640 is about 65346.0988889161. The cubic root of 4270112640 is about 1622.3570626920.

The spelling of 4270112640 in words is "four billion, two hundred seventy million, one hundred twelve thousand, six hundred forty".