9429116402400 has 288 divisors, whose sum is σ = 31699082878848. Its totient is φ = 2433000192000.

The previous prime is 9429116402389. The next prime is 9429116402429. The reversal of 9429116402400 is 42046119249.

It is a super-2 number, since 2×9429116402400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10615450 + ... + 11469350.

It is an arithmetic number, because the mean of its divisors is an integer number (110066259996).

Almost surely, 2^{9429116402400} 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 9429116402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849541439424).

9429116402400 is an abundant number, since it is smaller than the sum of its proper divisors (22269966476448).

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

9429116402400 is a wasteful number, since it uses less digits than its factorization.

9429116402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854074 (or 854061 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 9429116402400 in words is "nine trillion, four hundred twenty-nine billion, one hundred sixteen million, four hundred two thousand, four hundred".