4160401461 has 40 divisors (see below), whose sum is σ = 6339548160. Its totient is φ = 2718275328.

The previous prime is 4160401447. The next prime is 4160401493. The reversal of 4160401461 is 1641040614.

4160401461 is a `hidden beast` number, since 4 + 160 + 40 + 1 + 461 = 666.

4160401461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4160401461 - 2¹⁰ = 4160400437 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160406461) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1829221 + ... + 1831493.

It is an arithmetic number, because the mean of its divisors is an integer number (158488704).

Almost surely, 2^4160401461 is an apocalyptic number.

It is an amenable number.

4160401461 is a deficient number, since it is larger than the sum of its proper divisors (2179146699).

4160401461 is a wasteful number, since it uses less digits than its factorization.

4160401461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2718 counting only the distinct ones).

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

The square root of 4160401461 is about 64501.1741055928. The cubic root of 4160401461 is about 1608.3420378158.

The spelling of 4160401461 in words is "four billion, one hundred sixty million, four hundred one thousand, four hundred sixty-one".