6103319040 has 960 divisors, whose sum is σ = 27025270272. Its totient is φ = 1238630400.

The previous prime is 6103319021. The next prime is 6103319041. The reversal of 6103319040 is 409133016.

6103319040 is a `hidden beast` number, since 610 + 3 + 3 + 1 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 6103318995 and 6103319013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6103319041) 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, 85962205 + ... + 85962275.

Almost surely, 2^6103319040 is an apocalyptic number.

6103319040 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 6103319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512635136).

6103319040 is an abundant number, since it is smaller than the sum of its proper divisors (20921951232).

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

6103319040 is a wasteful number, since it uses less digits than its factorization.

6103319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6103319040 is about 78123.7418458691. The cubic root of 6103319040 is about 1827.4914657171.

The spelling of 6103319040 in words is "six billion, one hundred three million, three hundred nineteen thousand, forty".