9396916250400 has 1152 divisors, whose sum is σ = 39421796843520. Its totient is φ = 2115956736000.

The previous prime is 9396916250399. The next prime is 9396916250401. The reversal of 9396916250400 is 40526196939.

9396916250400 is a `hidden beast` number, since 9 + 3 + 9 + 6 + 9 + 1 + 625 + 0 + 4 + 0 + 0 = 666.

9396916250400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9396916250399) and next prime (9396916250401).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9396916250401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3090072880 + ... + 3090075920.

It is an arithmetic number, because the mean of its divisors is an integer number (34220309760).

Almost surely, 2^{9396916250400} is an apocalyptic number.

9396916250400 is a gapful number since it is divisible by the number (90) 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 9396916250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710898421760).

9396916250400 is an abundant number, since it is smaller than the sum of its proper divisors (30024880593120).

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

9396916250400 is a wasteful number, since it uses less digits than its factorization.

9396916250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 9396916250400 in words is "nine trillion, three hundred ninety-six billion, nine hundred sixteen million, two hundred fifty thousand, four hundred".