4135256064 has 340 divisors, whose sum is σ = 13322056440. Its totient is φ = 1274019840.

The previous prime is 4135256057. The next prime is 4135256093. The reversal of 4135256064 is 4606525314.

4135256064 is a `hidden beast` number, since 4 + 1 + 35 + 2 + 560 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100859884 + ... + 100859924.

Almost surely, 2^4135256064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661028220).

4135256064 is an abundant number, since it is smaller than the sum of its proper divisors (9186800376).

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

4135256064 is an frugal number, since it uses more digits than its factorization.

4135256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4135256064 is about 64305.9566758788. The cubic root of 4135256064 is about 1605.0952236280.

The spelling of 4135256064 in words is "four billion, one hundred thirty-five million, two hundred fifty-six thousand, sixty-four".