8290649881440 has 480 divisors, whose sum is σ = 31232892176640. Its totient is φ = 2064975897600.

The previous prime is 8290649881411. The next prime is 8290649881453. The reversal of 8290649881440 is 441889460928.

8290649881440 is a `hidden beast` number, since 8 + 2 + 90 + 6 + 498 + 8 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17245935 + ... + 17720145.

It is an arithmetic number, because the mean of its divisors is an integer number (65068525368).

Almost surely, 2^{8290649881440} is an apocalyptic number.

8290649881440 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 8290649881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616446088320).

8290649881440 is an abundant number, since it is smaller than the sum of its proper divisors (22942242295200).

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

8290649881440 is a wasteful number, since it uses less digits than its factorization.

8290649881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474328 (or 474311 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 8290649881440 in words is "eight trillion, two hundred ninety billion, six hundred forty-nine million, eight hundred eighty-one thousand, four hundred forty".