4135464000 has 336 divisors, whose sum is σ = 15576986880. Its totient is φ = 1044403200.

The previous prime is 4135463977. The next prime is 4135464041. The reversal of 4135464000 is 4645314.

4135464000 is a `hidden beast` number, since 4 + 13 + 5 + 4 + 640 + 0 + 0 = 666.

4135464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366489 + ... + 1369511.

It is an arithmetic number, because the mean of its divisors is an integer number (46360080).

Almost surely, 2^4135464000 is an apocalyptic number.

4135464000 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 4135464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788493440).

4135464000 is an abundant number, since it is smaller than the sum of its proper divisors (11441522880).

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

4135464000 is a wasteful number, since it uses less digits than its factorization.

4135464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4135464000 is about 64307.5734264635. The cubic root of 4135464000 is about 1605.1221265558.

The spelling of 4135464000 in words is "four billion, one hundred thirty-five million, four hundred sixty-four thousand".