4061161440 has 288 divisors, whose sum is σ = 16268091840. Its totient is φ = 903094272.

The previous prime is 4061161439. The next prime is 4061161457. The reversal of 4061161440 is 441611604.

4061161440 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 1 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367516 + ... + 378404.

It is an arithmetic number, because the mean of its divisors is an integer number (56486430).

Almost surely, 2^4061161440 is an apocalyptic number.

4061161440 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 4061161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134045920).

4061161440 is an abundant number, since it is smaller than the sum of its proper divisors (12206930400).

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

4061161440 is a wasteful number, since it uses less digits than its factorization.

4061161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10954 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4061161440 is about 63727.2425262540. The cubic root of 4061161440 is about 1595.4508069519.

The spelling of 4061161440 in words is "four billion, sixty-one million, one hundred sixty-one thousand, four hundred forty".