4169256960 has 416 divisors, whose sum is σ = 15097651200. Its totient is φ = 973209600.

The previous prime is 4169256907. The next prime is 4169256961. The reversal of 4169256960 is 696529614.

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 (4169256961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20950941 + ... + 20951139.

Almost surely, 2^4169256960 is an apocalyptic number.

4169256960 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 4169256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548825600).

4169256960 is an abundant number, since it is smaller than the sum of its proper divisors (10928394240).

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

4169256960 is a wasteful number, since it uses less digits than its factorization.

4169256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 4169256960 is about 64569.7836452934. The cubic root of 4169256960 is about 1609.4823586960.

The spelling of 4169256960 in words is "four billion, one hundred sixty-nine million, two hundred fifty-six thousand, nine hundred sixty".