8341628106240 has 2880 divisors, whose sum is σ = 37019472602112. Its totient is φ = 1773674496000.

The previous prime is 8341628106221. The next prime is 8341628106269. The reversal of 8341628106240 is 426018261438.

8341628106240 is a `hidden beast` number, since 8 + 3 + 4 + 1 + 6 + 2 + 8 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 55242570165 + ... + 55242570315.

Almost surely, 2^{8341628106240} is an apocalyptic number.

8341628106240 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 8341628106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18509736301056).

8341628106240 is an abundant number, since it is smaller than the sum of its proper divisors (28677844495872).

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

8341628106240 is a wasteful number, since it uses less digits than its factorization.

8341628106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 8341628106240 in words is "eight trillion, three hundred forty-one billion, six hundred twenty-eight million, one hundred six thousand, two hundred forty".