6114407040000 has 880 divisors, whose sum is σ = 25860684432000. Its totient is φ = 1397551104000.

The previous prime is 6114407039999. The next prime is 6114407040011. The reversal of 6114407040000 is 407044116.

6114407040000 is a `hidden beast` number, since 611 + 4 + 4 + 0 + 7 + 0 + 40 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120934726 + ... + 120985274.

It is an arithmetic number, because the mean of its divisors is an integer number (29387141400).

Almost surely, 2^{6114407040000} is an apocalyptic number.

6114407040000 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 6114407040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930342216000).

6114407040000 is an abundant number, since it is smaller than the sum of its proper divisors (19746277392000).

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

6114407040000 is an equidigital number, since it uses as much as digits as its factorization.

6114407040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50605 (or 50566 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 6114407040000 in words is "six trillion, one hundred fourteen billion, four hundred seven million, forty thousand".