4161265920 has 576 divisors, whose sum is σ = 17142128640. Its totient is φ = 936271872.

The previous prime is 4161265907. The next prime is 4161265963. The reversal of 4161265920 is 295621614.

4161265920 is a `hidden beast` number, since 4 + 1 + 61 + 2 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4161265920² = 34632268113906892800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24917677 + ... + 24917843.

It is an arithmetic number, because the mean of its divisors is an integer number (29760640).

Almost surely, 2^4161265920 is an apocalyptic number.

4161265920 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 4161265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571064320).

4161265920 is an abundant number, since it is smaller than the sum of its proper divisors (12980862720).

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

4161265920 is a wasteful number, since it uses less digits than its factorization.

4161265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4161265920 is about 64507.8748681120. The cubic root of 4161265920 is about 1608.4534252606.

The spelling of 4161265920 in words is "four billion, one hundred sixty-one million, two hundred sixty-five thousand, nine hundred twenty".