4065863101560 has 448 divisors, whose sum is σ = 14780138143680. Its totient is φ = 1000215060480.

The previous prime is 4065863101549. The next prime is 4065863101591. The reversal of 4065863101560 is 651013685604.

4065863101560 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 8 + 631 + 0 + 1 + 5 + 6 + 0 = 666.

4065863101560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1152780517 + ... + 1152784043.

It is an arithmetic number, because the mean of its divisors is an integer number (32991379785).

Almost surely, 2^{4065863101560} is an apocalyptic number.

4065863101560 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 4065863101560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390069071840).

4065863101560 is an abundant number, since it is smaller than the sum of its proper divisors (10714275042120).

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

4065863101560 is a wasteful number, since it uses less digits than its factorization.

4065863101560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4065863101560 in words is "four trillion, sixty-five billion, eight hundred sixty-three million, one hundred one thousand, five hundred sixty".