8409294609408 has 616 divisors, whose sum is σ = 31423428220800. Its totient is φ = 2184217436160.

The previous prime is 8409294609407. The next prime is 8409294609421. The reversal of 8409294609408 is 8049064929048.

8409294609408 is a `hidden beast` number, since 8 + 40 + 92 + 9 + 460 + 9 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (616).

It is a super-2 number, since 2×8409294609408² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8409294609403) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 57407043 + ... + 57553341.

It is an arithmetic number, because the mean of its divisors is an integer number (51012058800).

Almost surely, 2^{8409294609408} is an apocalyptic number.

8409294609408 is a gapful number since it is divisible by the number (88) 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 8409294609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15711714110400).

8409294609408 is an abundant number, since it is smaller than the sum of its proper divisors (23014133611392).

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

8409294609408 is a wasteful number, since it uses less digits than its factorization.

8409294609408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146355 (or 146322 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 8409294609408 in words is "eight trillion, four hundred nine billion, two hundred ninety-four million, six hundred nine thousand, four hundred eight".