6445411962990 has 256 divisors, whose sum is σ = 20773317003264. Its totient is φ = 1236058675200.

The previous prime is 6445411962971. The next prime is 6445411963007. The reversal of 6445411962990 is 992691145446.

It is a Curzon number.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 199773460 + ... + 199805720.

It is an arithmetic number, because the mean of its divisors is an integer number (81145769544).

Almost surely, 2^{6445411962990} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6445411962990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10386658501632).

6445411962990 is an abundant number, since it is smaller than the sum of its proper divisors (14327905040274).

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

6445411962990 is a wasteful number, since it uses less digits than its factorization.

6445411962990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38955.

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 6445411962990 in words is "six trillion, four hundred forty-five billion, four hundred eleven million, nine hundred sixty-two thousand, nine hundred ninety".