3020416164540 has 288 divisors, whose sum is σ = 9611981188992. Its totient is φ = 767047680000.

The previous prime is 3020416164509. The next prime is 3020416164541. The reversal of 3020416164540 is 454616140203.

3020416164540 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 4 + 1 + 6 + 1 + 645 + 4 + 0 = 666.

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 = 3020416164495 and 3020416164504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020416164541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52893444 + ... + 52950516.

It is an arithmetic number, because the mean of its divisors is an integer number (33374934684).

Almost surely, 2^{3020416164540} is an apocalyptic number.

3020416164540 is a gapful number since it is divisible by the number (30) 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 3020416164540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805990594496).

3020416164540 is an abundant number, since it is smaller than the sum of its proper divisors (6591565024452).

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

3020416164540 is a wasteful number, since it uses less digits than its factorization.

3020416164540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57301 (or 57296 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3020416164540 in words is "three trillion, twenty billion, four hundred sixteen million, one hundred sixty-four thousand, five hundred forty".