4135587456 has 768 divisors, whose sum is σ = 15823382400. Its totient is φ = 939294720.

The previous prime is 4135587451. The next prime is 4135587493. The reversal of 4135587456 is 6547855314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135587451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78029926 + ... + 78029978.

Almost surely, 2^4135587456 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 4135587456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911691200).

4135587456 is an abundant number, since it is smaller than the sum of its proper divisors (11687794944).

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

4135587456 is a wasteful number, since it uses less digits than its factorization.

4135587456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 48.

The square root of 4135587456 is about 64308.5333062417. The cubic root of 4135587456 is about 1605.1380989663.

The spelling of 4135587456 in words is "four billion, one hundred thirty-five million, five hundred eighty-seven thousand, four hundred fifty-six".