9417129904 has 320 divisors, whose sum is σ = 24887296000. Its totient is φ = 3348034560.

The previous prime is 9417129899. The next prime is 9417129907. The reversal of 9417129904 is 4099217149.

It is a super-2 number, since 2×9417129904² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9417129907) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 67749067 + ... + 67749205.

It is an arithmetic number, because the mean of its divisors is an integer number (77772800).

Almost surely, 2^9417129904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9417129904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443648000).

9417129904 is an abundant number, since it is smaller than the sum of its proper divisors (15470166096).

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

9417129904 is a wasteful number, since it uses less digits than its factorization.

9417129904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 9417129904 is about 97041.8976731185. The cubic root of 9417129904 is about 2111.7354980875.

The spelling of 9417129904 in words is "nine billion, four hundred seventeen million, one hundred twenty-nine thousand, nine hundred four".