6060407040 has 180 divisors, whose sum is σ = 21685615644. Its totient is φ = 1616080896.

The previous prime is 6060406981. The next prime is 6060407047. The reversal of 6060407040 is 407040606.

It can be written as a sum of positive squares in 2 ways, for example, as 897122304 + 5163284736 = 29952^2 + 71856^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 6060406995 and 6060407013.

It is not an unprimeable number, because it can be changed into a prime (6060407047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74454 + ... + 132906.

Almost surely, 2^6060407040 is an apocalyptic number.

6060407040 is a gapful number since it is divisible by the number (60) 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 6060407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10842807822).

6060407040 is an abundant number, since it is smaller than the sum of its proper divisors (15625208604).

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

6060407040 is an equidigital number, since it uses as much as digits as its factorization.

6060407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58486 (or 58463 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6060407040 is about 77848.6161726719. The cubic root of 6060407040 is about 1823.1984012332.

Adding to 6060407040 its reverse (407040606), we get a palindrome (6467447646).

The spelling of 6060407040 in words is "six billion, sixty million, four hundred seven thousand, forty".