8610481751040 has 1584 divisors, whose sum is σ = 34610111617536. Its totient is φ = 2049579417600.

The previous prime is 8610481751029. The next prime is 8610481751059. The reversal of 8610481751040 is 401571840168.

8610481751040 is a `hidden beast` number, since 8 + 6 + 10 + 4 + 81 + 7 + 510 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6518153580 + ... + 6518154900.

Almost surely, 2^{8610481751040} is an apocalyptic number.

8610481751040 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 8610481751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305055808768).

8610481751040 is an abundant number, since it is smaller than the sum of its proper divisors (25999629866496).

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

8610481751040 is a wasteful number, since it uses less digits than its factorization.

8610481751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 8610481751040 in words is "eight trillion, six hundred ten billion, four hundred eighty-one million, seven hundred fifty-one thousand, forty".