4091205564 has 96 divisors (see below), whose sum is σ = 10758316800. Its totient is φ = 1344392640.

The previous prime is 4091205529. The next prime is 4091205583. The reversal of 4091205564 is 4655021904.

4091205564 is a `hidden beast` number, since 4 + 0 + 91 + 2 + 0 + 5 + 564 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2671479 + ... + 2673009.

It is an arithmetic number, because the mean of its divisors is an integer number (112065800).

Almost surely, 2^4091205564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091205564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379158400).

4091205564 is an abundant number, since it is smaller than the sum of its proper divisors (6667111236).

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

4091205564 is a wasteful number, since it uses less digits than its factorization.

4091205564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4091205564 is about 63962.5325014574. The cubic root of 4091205564 is about 1599.3754807457.

The spelling of 4091205564 in words is "four billion, ninety-one million, two hundred five thousand, five hundred sixty-four".