6034418807040 has 648 divisors, whose sum is σ = 22642224139080. Its totient is φ = 1483150196736.

The previous prime is 6034418807029. The next prime is 6034418807051. The reversal of 6034418807040 is 407088144306.

6034418807040 is a `hidden beast` number, since 60 + 3 + 441 + 8 + 80 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6034418807029) and next prime (6034418807051).

It can be written as a sum of positive squares in 12 ways, for example, as 2774862987264 + 3259555819776 = 1665792^2 + 1805424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1551661416 + ... + 1551665304.

Almost surely, 2^{6034418807040} is an apocalyptic number.

6034418807040 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 6034418807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321112069540).

6034418807040 is an abundant number, since it is smaller than the sum of its proper divisors (16607805332040).

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

6034418807040 is a wasteful number, since it uses less digits than its factorization.

6034418807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 6034418807040 in words is "six trillion, thirty-four billion, four hundred eighteen million, eight hundred seven thousand, forty".