30332334142044 has 288 divisors, whose sum is σ = 88956608045760. Its totient is φ = 8612622950400.

The previous prime is 30332334142037. The next prime is 30332334142079. The reversal of 30332334142044 is 44024143323303.

30332334142044 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 2 + 33 + 414 + 204 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2935476702 + ... + 2935487034.

It is an arithmetic number, because the mean of its divisors is an integer number (308877111270).

Almost surely, 2^{30332334142044} is an apocalyptic number.

30332334142044 is a gapful number since it is divisible by the number (34) 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 30332334142044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478304022880).

30332334142044 is an abundant number, since it is smaller than the sum of its proper divisors (58624273903716).

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

30332334142044 is a wasteful number, since it uses less digits than its factorization.

30332334142044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12261 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 30332334142044 its reverse (44024143323303), we get a palindrome (74356477465347).

The spelling of 30332334142044 in words is "thirty trillion, three hundred thirty-two billion, three hundred thirty-four million, one hundred forty-two thousand, forty-four".