30301441423440 has 320 divisors, whose sum is σ = 103409556221952. Its totient is φ = 7278772838400.

The previous prime is 30301441423261. The next prime is 30301441423453. The reversal of 30301441423440 is 4432414410303.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1262179917 + ... + 1262203923.

Almost surely, 2^{30301441423440} is an apocalyptic number.

30301441423440 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 30301441423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51704778110976).

30301441423440 is an abundant number, since it is smaller than the sum of its proper divisors (73108114798512).

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

30301441423440 is a wasteful number, since it uses less digits than its factorization.

30301441423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28378 (or 28372 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 30301441423440 its reverse (4432414410303), we get a palindrome (34733855833743).

The spelling of 30301441423440 in words is "thirty trillion, three hundred one billion, four hundred forty-one million, four hundred twenty-three thousand, four hundred forty".