841206500640 has 1440 divisors, whose sum is σ = 3458346046848. Its totient is φ = 192026419200.

The previous prime is 841206500623. The next prime is 841206500647. The reversal of 841206500640 is 46005602148.

841206500640 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 0 + 6 + 5 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 841206500595 and 841206500604.

It is not an unprimeable number, because it can be changed into a prime (841206500647) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2993617300 + ... + 2993617580.

Almost surely, 2^841206500640 is an apocalyptic number.

841206500640 is a gapful number since it is divisible by the number (80) 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 841206500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729173023424).

841206500640 is an abundant number, since it is smaller than the sum of its proper divisors (2617139546208).

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

841206500640 is a wasteful number, since it uses less digits than its factorization.

841206500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 841206500640 in words is "eight hundred forty-one billion, two hundred six million, five hundred thousand, six hundred forty".