9400304848896 has 1664 divisors, whose sum is σ = 33131795558400. Its totient is φ = 2608555622400.

The previous prime is 9400304848873. The next prime is 9400304848931. The reversal of 9400304848896 is 6988484030049.

9400304848896 is a `hidden beast` number, since 9 + 40 + 0 + 30 + 484 + 8 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62253674421 + ... + 62253674571.

Almost surely, 2^{9400304848896} is an apocalyptic number.

9400304848896 is a gapful number since it is divisible by the number (96) 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 9400304848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565897779200).

9400304848896 is an abundant number, since it is smaller than the sum of its proper divisors (23731490709504).

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

9400304848896 is a wasteful number, since it uses less digits than its factorization.

9400304848896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 9400304848896 in words is "nine trillion, four hundred billion, three hundred four million, eight hundred forty-eight thousand, eight hundred ninety-six".