4254281640 has 192 divisors, whose sum is σ = 16633468800. Its totient is φ = 921217536.

The previous prime is 4254281639. The next prime is 4254281771. The reversal of 4254281640 is 461824524.

4254281640 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 2 + 8 + 1 + 640 = 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 = 4254281595 and 4254281604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3454 + ... + 92306.

It is an arithmetic number, because the mean of its divisors is an integer number (86632650).

Almost surely, 2^4254281640 is an apocalyptic number.

4254281640 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 4254281640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316734400).

4254281640 is an abundant number, since it is smaller than the sum of its proper divisors (12379187160).

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

4254281640 is a wasteful number, since it uses less digits than its factorization.

4254281640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88896 (or 88889 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4254281640 is about 65224.8544651500. The cubic root of 4254281640 is about 1620.3496730324.

The spelling of 4254281640 in words is "four billion, two hundred fifty-four million, two hundred eighty-one thousand, six hundred forty".