30434132440 has 64 divisors (see below), whose sum is σ = 70491425760. Its totient is φ = 11817031680.

The previous prime is 30434132419. The next prime is 30434132441. The reversal of 30434132440 is 4423143403.

It is a junction number, because it is equal to n+sod(n) for n = 30434132399 and 30434132408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30434132441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617095 + ... + 664585.

Almost surely, 2^30434132440 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 30434132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35245712880).

30434132440 is an abundant number, since it is smaller than the sum of its proper divisors (40057293320).

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

30434132440 is a wasteful number, since it uses less digits than its factorization.

30434132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47972 (or 47968 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 30434132440 its reverse (4423143403), we get a palindrome (34857275843).

The spelling of 30434132440 in words is "thirty billion, four hundred thirty-four million, one hundred thirty-two thousand, four hundred forty".