6413309049840 has 480 divisors, whose sum is σ = 26713754567424. Its totient is φ = 1254244884480.

The previous prime is 6413309049751. The next prime is 6413309049853. The reversal of 6413309049840 is 489409033146.

It is a happy number.

It is a super-2 number, since 2×6413309049840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 740967 + ... + 3657273.

Almost surely, 2^{6413309049840} is an apocalyptic number.

6413309049840 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 6413309049840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356877283712).

6413309049840 is an abundant number, since it is smaller than the sum of its proper divisors (20300445517584).

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

6413309049840 is a wasteful number, since it uses less digits than its factorization.

6413309049840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916365 (or 2916352 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 6413309049840 in words is "six trillion, four hundred thirteen billion, three hundred nine million, forty-nine thousand, eight hundred forty".