6130391040 has 480 divisors, whose sum is σ = 23189166000. Its totient is φ = 1544749056.

The previous prime is 6130391017. The next prime is 6130391077. The reversal of 6130391040 is 401930316.

6130391040 is a `hidden beast` number, since 613 + 0 + 3 + 9 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 6130390995 and 6130391013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15759166 + ... + 15759554.

Almost surely, 2^6130391040 is an apocalyptic number.

6130391040 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 6130391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594583000).

6130391040 is an abundant number, since it is smaller than the sum of its proper divisors (17058774960).

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

6130391040 is a wasteful number, since it uses less digits than its factorization.

6130391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 418 counting only the distinct ones).

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

The square root of 6130391040 is about 78296.8137282738. The cubic root of 6130391040 is about 1830.1894993229.

The spelling of 6130391040 in words is "six billion, one hundred thirty million, three hundred ninety-one thousand, forty".