30441442252520 has 128 divisors (see below), whose sum is σ = 73876886244000. Its totient is φ = 11222415114240.

The previous prime is 30441442252499. The next prime is 30441442252541. The reversal of 30441442252520 is 2525224414403.

It is an interprime number because it is at equal distance from previous prime (30441442252499) and next prime (30441442252541).

It can be written as a sum of positive squares in 16 ways, for example, as 259669738084 + 30181772514436 = 509578^2 + 5493794^2 .

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, 1195222346 + ... + 1195247814.

Almost surely, 2^{30441442252520} 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 30441442252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36938443122000).

30441442252520 is an abundant number, since it is smaller than the sum of its proper divisors (43435443991480).

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

30441442252520 is a wasteful number, since it uses less digits than its factorization.

30441442252520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28983 (or 28979 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 30441442252520 its reverse (2525224414403), we get a palindrome (32966666666923).

The spelling of 30441442252520 in words is "thirty trillion, four hundred forty-one billion, four hundred forty-two million, two hundred fifty-two thousand, five hundred twenty".