6441090599136 has 384 divisors, whose sum is σ = 18040397760000. Its totient is φ = 2009066250240.

The previous prime is 6441090599123. The next prime is 6441090599147. The reversal of 6441090599136 is 6319950901446.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4099993231 + ... + 4099994801.

It is an arithmetic number, because the mean of its divisors is an integer number (46980202500).

Almost surely, 2^{6441090599136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441090599136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020198880000).

6441090599136 is an abundant number, since it is smaller than the sum of its proper divisors (11599307160864).

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

6441090599136 is a wasteful number, since it uses less digits than its factorization.

6441090599136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 6441090599136 in words is "six trillion, four hundred forty-one billion, ninety million, five hundred ninety-nine thousand, one hundred thirty-six".