4135296000 has 528 divisors, whose sum is σ = 15289616160. Its totient is φ = 991232000.

The previous prime is 4135295953. The next prime is 4135296013. The reversal of 4135296000 is 6925314.

4135296000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 46463956 + ... + 46464044.

Almost surely, 2^4135296000 is an apocalyptic number.

4135296000 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 4135296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644808080).

4135296000 is an abundant number, since it is smaller than the sum of its proper divisors (11154320160).

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

4135296000 is a wasteful number, since it uses less digits than its factorization.

4135296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4135296000 is about 64306.2671906868. The cubic root of 4135296000 is about 1605.1003906499.

The spelling of 4135296000 in words is "four billion, one hundred thirty-five million, two hundred ninety-six thousand".