30045421824 has 288 divisors, whose sum is σ = 91988241408. Its totient is φ = 8616960000.

The previous prime is 30045421817. The next prime is 30045421871. The reversal of 30045421824 is 42812454003.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19623939 + ... + 19625469.

It is an arithmetic number, because the mean of its divisors is an integer number (319403616).

Almost surely, 2^30045421824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30045421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45994120704).

30045421824 is an abundant number, since it is smaller than the sum of its proper divisors (61942819584).

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

30045421824 is a wasteful number, since it uses less digits than its factorization.

30045421824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 30045421824 its reverse (42812454003), we get a palindrome (72857875827).

The spelling of 30045421824 in words is "thirty billion, forty-five million, four hundred twenty-one thousand, eight hundred twenty-four".