9400829306352 has 320 divisors, whose sum is σ = 28651766169600. Its totient is φ = 2625542691840.

The previous prime is 9400829306303. The next prime is 9400829306467. The reversal of 9400829306352 is 2536039280049.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9400829306295 and 9400829306304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78681474 + ... + 78800862.

It is an arithmetic number, because the mean of its divisors is an integer number (89536769280).

Almost surely, 2^{9400829306352} 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 9400829306352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325883084800).

9400829306352 is an abundant number, since it is smaller than the sum of its proper divisors (19250936863248).

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

9400829306352 is a wasteful number, since it uses less digits than its factorization.

9400829306352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119644 (or 119638 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 9400829306352 in words is "nine trillion, four hundred billion, eight hundred twenty-nine million, three hundred six thousand, three hundred fifty-two".