6441241752000 has 672 divisors, whose sum is σ = 25947007377408. Its totient is φ = 1511136000000.

The previous prime is 6441241751963. The next prime is 6441241752013. The reversal of 6441241752000 is 2571421446.

6441241752000 is a `hidden beast` number, since 6 + 4 + 4 + 124 + 1 + 7 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24420825 + ... + 24683175.

Almost surely, 2^{6441241752000} is an apocalyptic number.

6441241752000 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 6441241752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973503688704).

6441241752000 is an abundant number, since it is smaller than the sum of its proper divisors (19505765625408).

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

6441241752000 is a wasteful number, since it uses less digits than its factorization.

6441241752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262426 (or 262403 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 6441241752000 in words is "six trillion, four hundred forty-one billion, two hundred forty-one million, seven hundred fifty-two thousand".