9404041680 has 560 divisors, whose sum is σ = 36359440704. Its totient is φ = 2241976320.

The previous prime is 9404041663. The next prime is 9404041687. The reversal of 9404041680 is 861404049.

It is a happy number.

9404041680 is a `hidden beast` number, since 94 + 0 + 404 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9404041687) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68642572 + ... + 68642708.

Almost surely, 2^9404041680 is an apocalyptic number.

9404041680 is a gapful number since it is divisible by the number (90) 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 9404041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179720352).

9404041680 is an abundant number, since it is smaller than the sum of its proper divisors (26955399024).

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

9404041680 is a wasteful number, since it uses less digits than its factorization.

9404041680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9404041680 is about 96974.4382814358. The cubic root of 9404041680 is about 2110.7567256497.

The spelling of 9404041680 in words is "nine billion, four hundred four million, forty-one thousand, six hundred eighty".