4160963520 has 1120 divisors, whose sum is σ = 19119006720. Its totient is φ = 836075520.

The previous prime is 4160963519. The next prime is 4160963531. The reversal of 4160963520 is 253690614.

It is a happy number.

4160963520 is a `hidden beast` number, since 4 + 16 + 0 + 9 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58605085 + ... + 58605155.

Almost surely, 2^4160963520 is an apocalyptic number.

4160963520 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 4160963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9559503360).

4160963520 is an abundant number, since it is smaller than the sum of its proper divisors (14958043200).

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

4160963520 is a wasteful number, since it uses less digits than its factorization.

4160963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4160963520 is about 64505.5309256501. The cubic root of 4160963520 is about 1608.4144621095.

The spelling of 4160963520 in words is "four billion, one hundred sixty million, nine hundred sixty-three thousand, five hundred twenty".