8404059471840 has 1728 divisors, whose sum is σ = 34062935961600. Its totient is φ = 1950604001280.

The previous prime is 8404059471791. The next prime is 8404059471877. The reversal of 8404059471840 is 481749504048.

8404059471840 is a `hidden beast` number, since 8 + 4 + 0 + 4 + 0 + 594 + 7 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8011495636 + ... + 8011496684.

It is an arithmetic number, because the mean of its divisors is an integer number (19712347200).

Almost surely, 2^{8404059471840} is an apocalyptic number.

8404059471840 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 8404059471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031467980800).

8404059471840 is an abundant number, since it is smaller than the sum of its proper divisors (25658876489760).

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

8404059471840 is a wasteful number, since it uses less digits than its factorization.

8404059471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8404059471840 in words is "eight trillion, four hundred four billion, fifty-nine million, four hundred seventy-one thousand, eight hundred forty".