8641310135040 has 1728 divisors, whose sum is σ = 35075432448000. Its totient is φ = 2010894336000.

The previous prime is 8641310135023. The next prime is 8641310135041. The reversal of 8641310135040 is 405310131468.

8641310135040 is a `hidden beast` number, since 8 + 6 + 4 + 131 + 0 + 13 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×8641310135040³ (a number of 40 digits) contains 333 as substring.

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 = 8641310134986 and 8641310135004.

It is not an unprimeable number, because it can be changed into a prime (8641310135041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24760200786 + ... + 24760201134.

Almost surely, 2^{8641310135040} is an apocalyptic number.

8641310135040 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 8641310135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537716224000).

8641310135040 is an abundant number, since it is smaller than the sum of its proper divisors (26434122312960).

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

8641310135040 is a wasteful number, since it uses less digits than its factorization.

8641310135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 8641310135040 in words is "eight trillion, six hundred forty-one billion, three hundred ten million, one hundred thirty-five thousand, forty".