30305440002032 has 160 divisors (see below), whose sum is σ = 67095619605504. Its totient is φ = 13136352768000.

The previous prime is 30305440002023. The next prime is 30305440002043. The reversal of 30305440002032 is 23020004450303.

It is a super-2 number, since 2×30305440002032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 30305440001992 and 30305440002010.

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 31 ways as a sum of consecutive naturals, for example, 7869496907 + ... + 7869500757.

Almost surely, 2^{30305440002032} 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 30305440002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33547809802752).

30305440002032 is an abundant number, since it is smaller than the sum of its proper divisors (36790179603472).

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

30305440002032 is a wasteful number, since it uses less digits than its factorization.

30305440002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 30305440002032 its reverse (23020004450303), we get a palindrome (53325444452335).

The spelling of 30305440002032 in words is "thirty trillion, three hundred five billion, four hundred forty million, two thousand, thirty-two".