30054221440 has 128 divisors (see below), whose sum is σ = 76569131520. Its totient is φ = 11254087680.

The previous prime is 30054221411. The next prime is 30054221537. The reversal of 30054221440 is 4412245003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 670120 + ... + 713560.

It is an arithmetic number, because the mean of its divisors is an integer number (598196340).

Almost surely, 2^30054221440 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 30054221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38284565760).

30054221440 is an abundant number, since it is smaller than the sum of its proper divisors (46514910080).

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

30054221440 is a wasteful number, since it uses less digits than its factorization.

30054221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43530 (or 43518 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 30054221440 its reverse (4412245003), we get a palindrome (34466466443).

The spelling of 30054221440 in words is "thirty billion, fifty-four million, two hundred twenty-one thousand, four hundred forty".