4079160540 has 768 divisors, whose sum is σ = 17476300800. Its totient is φ = 764411904.

The previous prime is 4079160539. The next prime is 4079160583. The reversal of 4079160540 is 450619704.

4079160540 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 1 + 605 + 40 = 666.

4079160540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4079160540² = 33279101422186183200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4079160495 and 4079160504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15872092 + ... + 15872348.

It is an arithmetic number, because the mean of its divisors is an integer number (22755600).

Almost surely, 2^4079160540 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 4079160540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738150400).

4079160540 is an abundant number, since it is smaller than the sum of its proper divisors (13397140260).

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

4079160540 is a wasteful number, since it uses less digits than its factorization.

4079160540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4079160540 is about 63868.3062246056. The cubic root of 4079160540 is about 1597.8043503089.

The spelling of 4079160540 in words is "four billion, seventy-nine million, one hundred sixty thousand, five hundred forty".