6641238371040 has 2304 divisors, whose sum is σ = 30344710717440. Its totient is φ = 1343155322880.

The previous prime is 6641238371029. The next prime is 6641238371087. The reversal of 6641238371040 is 401738321466.

6641238371040 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 238 + 371 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 10833993774 + ... + 10833994386.

It is an arithmetic number, because the mean of its divisors is an integer number (13170447360).

Almost surely, 2^{6641238371040} is an apocalyptic number.

6641238371040 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 6641238371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172355358720).

6641238371040 is an abundant number, since it is smaller than the sum of its proper divisors (23703472346400).

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

6641238371040 is a wasteful number, since it uses less digits than its factorization.

6641238371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6641238371040 in words is "six trillion, six hundred forty-one billion, two hundred thirty-eight million, three hundred seventy-one thousand, forty".