4102561760 has 96 divisors (see below), whose sum is σ = 10722668544. Its totient is φ = 1470784000.

The previous prime is 4102561751. The next prime is 4102561769. The reversal of 4102561760 is 671652014.

It is an interprime number because it is at equal distance from previous prime (4102561751) and next prime (4102561769).

It is a super-2 number, since 2×4102561760² = 33662025989228595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102561769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108545 + ... + 141375.

It is an arithmetic number, because the mean of its divisors is an integer number (111694464).

Almost surely, 2^4102561760 is an apocalyptic number.

4102561760 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 4102561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361334272).

4102561760 is an abundant number, since it is smaller than the sum of its proper divisors (6620106784).

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

4102561760 is a wasteful number, since it uses less digits than its factorization.

4102561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32928 (or 32920 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 4102561760 is about 64051.2432353971. The cubic root of 4102561760 is about 1600.8539399938.

The spelling of 4102561760 in words is "four billion, one hundred two million, five hundred sixty-one thousand, seven hundred sixty".