4161072960 has 672 divisors, whose sum is σ = 17041489920. Its totient is φ = 920678400.

The previous prime is 4161072953. The next prime is 4161072967. The reversal of 4161072960 is 692701614.

It is an interprime number because it is at equal distance from previous prime (4161072953) and next prime (4161072967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161072967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18659409 + ... + 18659631.

It is an arithmetic number, because the mean of its divisors is an integer number (25359360).

Almost surely, 2^4161072960 is an apocalyptic number.

4161072960 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 4161072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520744960).

4161072960 is an abundant number, since it is smaller than the sum of its proper divisors (12880416960).

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

4161072960 is a wasteful number, since it uses less digits than its factorization.

4161072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4161072960 is about 64506.3792194229. The cubic root of 4161072960 is about 1608.4285632774.

The spelling of 4161072960 in words is "four billion, one hundred sixty-one million, seventy-two thousand, nine hundred sixty".