4080181560 has 512 divisors, whose sum is σ = 16489267200. Its totient is φ = 782991360.

The previous prime is 4080181507. The next prime is 4080181561. The reversal of 4080181560 is 651810804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080181561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5754486 + ... + 5755194.

It is an arithmetic number, because the mean of its divisors is an integer number (32205600).

Almost surely, 2^4080181560 is an apocalyptic number.

4080181560 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 4080181560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244633600).

4080181560 is an abundant number, since it is smaller than the sum of its proper divisors (12409085640).

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

4080181560 is a wasteful number, since it uses less digits than its factorization.

4080181560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 4080181560 is about 63876.2988909032. The cubic root of 4080181560 is about 1597.9376501295.

The spelling of 4080181560 in words is "four billion, eighty million, one hundred eighty-one thousand, five hundred sixty".