9404181873504 has 864 divisors, whose sum is σ = 31392387516672. Its totient is φ = 2745912960000.

The previous prime is 9404181873487. The next prime is 9404181873517. The reversal of 9404181873504 is 4053781814049.

9404181873504 is a `hidden beast` number, since 9 + 40 + 4 + 18 + 1 + 87 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13415380354 + ... + 13415381054.

It is an arithmetic number, because the mean of its divisors is an integer number (36333781848).

Almost surely, 2^{9404181873504} is an apocalyptic number.

9404181873504 is a gapful number since it is divisible by the number (94) 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 9404181873504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696193758336).

9404181873504 is an abundant number, since it is smaller than the sum of its proper divisors (21988205643168).

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

9404181873504 is a wasteful number, since it uses less digits than its factorization.

9404181873504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 9404181873504 in words is "nine trillion, four hundred four billion, one hundred eighty-one million, eight hundred seventy-three thousand, five hundred four".