6120193343040 has 3584 divisors, whose sum is σ = 28441497600000. Its totient is φ = 1232065658880.

The previous prime is 6120193343039. The next prime is 6120193343053. The reversal of 6120193343040 is 403433910216.

6120193343040 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 19 + 334 + 304 + 0 = 666.

It is a super-2 number, since 2×6120193343040² (a number of 26 digits) contains 22 as substring.

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 = 6120193342986 and 6120193343004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 86199906205 + ... + 86199906275.

Almost surely, 2^{6120193343040} is an apocalyptic number.

6120193343040 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 6120193343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220748800000).

6120193343040 is an abundant number, since it is smaller than the sum of its proper divisors (22321304256960).

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

6120193343040 is a wasteful number, since it uses less digits than its factorization.

6120193343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 6120193343040 in words is "six trillion, one hundred twenty billion, one hundred ninety-three million, three hundred forty-three thousand, forty".