9141686400 has 768 divisors, whose sum is σ = 38247552000. Its totient is φ = 1864089600.

The previous prime is 9141686387. The next prime is 9141686417. The reversal of 9141686400 is 46861419.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61353526 + ... + 61353674.

It is an arithmetic number, because the mean of its divisors is an integer number (49801500).

Almost surely, 2^9141686400 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 9141686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

9141686400 is an abundant number, since it is smaller than the sum of its proper divisors (29105865600).

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

9141686400 is a wasteful number, since it uses less digits than its factorization.

9141686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 9141686400 is about 95612.1665898227. The cubic root of 9141686400 is about 2090.9425782802.

The spelling of 9141686400 in words is "nine billion, one hundred forty-one million, six hundred eighty-six thousand, four hundred".