6441011965440 has 2240 divisors, whose sum is σ = 26711893454400. Its totient is φ = 1475697180672.

The previous prime is 6441011965403. The next prime is 6441011965471. The reversal of 6441011965440 is 445691101446.

6441011965440 is a `hidden beast` number, since 6 + 4 + 4 + 1 + 0 + 11 + 96 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41025553842 + ... + 41025553998.

It is an arithmetic number, because the mean of its divisors is an integer number (11924952435).

Almost surely, 2^{6441011965440} is an apocalyptic number.

6441011965440 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 6441011965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355946727200).

6441011965440 is an abundant number, since it is smaller than the sum of its proper divisors (20270881488960).

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

6441011965440 is a wasteful number, since it uses less digits than its factorization.

6441011965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 6441011965440 in words is "six trillion, four hundred forty-one billion, eleven million, nine hundred sixty-five thousand, four hundred forty".