9480995433000 has 2048 divisors, whose sum is σ = 42087112704000. Its totient is φ = 1920360960000.

The previous prime is 9480995432981. The next prime is 9480995433001. The reversal of 9480995433000 is 3345990849.

9480995433000 is a `hidden beast` number, since 9 + 4 + 8 + 0 + 99 + 543 + 3 + 0 + 0 + 0 = 666.

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 (9480995433001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19309562755 + ... + 19309563245.

It is an arithmetic number, because the mean of its divisors is an integer number (20550348000).

Almost surely, 2^{9480995433000} is an apocalyptic number.

9480995433000 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 9480995433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043556352000).

9480995433000 is an abundant number, since it is smaller than the sum of its proper divisors (32606117271000).

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

9480995433000 is a wasteful number, since it uses less digits than its factorization.

9480995433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 9480995433000 in words is "nine trillion, four hundred eighty billion, nine hundred ninety-five million, four hundred thirty-three thousand".