4061201760 has 768 divisors, whose sum is σ = 18376243200. Its totient is φ = 812851200.

The previous prime is 4061201737. The next prime is 4061201783. The reversal of 4061201760 is 671021604.

4061201760 is a `hidden beast` number, since 40 + 612 + 0 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4061201737) and next prime (4061201783).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9646350 + ... + 9646770.

It is an arithmetic number, because the mean of its divisors is an integer number (23927400).

Almost surely, 2^4061201760 is an apocalyptic number.

4061201760 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 4061201760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188121600).

4061201760 is an abundant number, since it is smaller than the sum of its proper divisors (14315041440).

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

4061201760 is a wasteful number, since it uses less digits than its factorization.

4061201760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4061201760 is about 63727.5588736929. The cubic root of 4061201760 is about 1595.4560869163.

The spelling of 4061201760 in words is "four billion, sixty-one million, two hundred one thousand, seven hundred sixty".