4100952688560 has 720 divisors, whose sum is σ = 17100347007744. Its totient is φ = 862382536704.

The previous prime is 4100952688537. The next prime is 4100952688577. The reversal of 4100952688560 is 658862590014.

4100952688560 is a `hidden beast` number, since 4 + 10 + 0 + 9 + 5 + 2 + 68 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4100952688497 and 4100952688506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 261482479 + ... + 261498161.

Almost surely, 2^{4100952688560} is an apocalyptic number.

4100952688560 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 4100952688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550173503872).

4100952688560 is an abundant number, since it is smaller than the sum of its proper divisors (12999394319184).

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

4100952688560 is a wasteful number, since it uses less digits than its factorization.

4100952688560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16042 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 4100952688560 in words is "four trillion, one hundred billion, nine hundred fifty-two million, six hundred eighty-eight thousand, five hundred sixty".