30996594289440 has 384 divisors, whose sum is σ = 116843807162880. Its totient is φ = 7629245853696.

The previous prime is 30996594289361. The next prime is 30996594289447. The reversal of 30996594289440 is 4498249569903.

30996594289440 is a `hidden beast` number, since 3 + 0 + 9 + 9 + 6 + 594 + 28 + 9 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (30996594289447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949256154 + ... + 949288806.

It is an arithmetic number, because the mean of its divisors is an integer number (304280747820).

Almost surely, 2^{30996594289440} is an apocalyptic number.

30996594289440 is a gapful number since it is divisible by the number (30) 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 30996594289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58421903581440).

30996594289440 is an abundant number, since it is smaller than the sum of its proper divisors (85847212873440).

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

30996594289440 is a wasteful number, since it uses less digits than its factorization.

30996594289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49593 (or 49579 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 30996594289440 in words is "thirty trillion, nine hundred ninety-six billion, five hundred ninety-four million, two hundred eighty-nine thousand, four hundred forty".