30996416024640 has 448 divisors, whose sum is σ = 119365173227520. Its totient is φ = 7509499361280.

The previous prime is 30996416024633. The next prime is 30996416024641. The reversal of 30996416024640 is 4642061469903.

30996416024640 is a `hidden beast` number, since 30 + 9 + 96 + 4 + 1 + 60 + 2 + 464 + 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 (30996416024641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150345307 + ... + 150551333.

Almost surely, 2^{30996416024640} is an apocalyptic number.

30996416024640 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 30996416024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59682586613760).

30996416024640 is an abundant number, since it is smaller than the sum of its proper divisors (88368757202880).

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

30996416024640 is a wasteful number, since it uses less digits than its factorization.

30996416024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207647 (or 207631 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 30996416024640 in words is "thirty trillion, nine hundred ninety-six billion, four hundred sixteen million, twenty-four thousand, six hundred forty".