6040293120 has 720 divisors, whose sum is σ = 24039892800. Its totient is φ = 1440350208.

The previous prime is 6040293113. The next prime is 6040293131. The reversal of 6040293120 is 213920406.

6040293120 is a `hidden beast` number, since 604 + 0 + 2 + 9 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40538806 + ... + 40538954.

It is an arithmetic number, because the mean of its divisors is an integer number (33388740).

Almost surely, 2^6040293120 is an apocalyptic number.

6040293120 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 6040293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019946400).

6040293120 is an abundant number, since it is smaller than the sum of its proper divisors (17999599680).

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

6040293120 is a wasteful number, since it uses less digits than its factorization.

6040293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6040293120 is about 77719.3226939093. The cubic root of 6040293120 is about 1821.1791577814.

The spelling of 6040293120 in words is "six billion, forty million, two hundred ninety-three thousand, one hundred twenty".