30464287040 has 224 divisors, whose sum is σ = 81769305600. Its totient is φ = 10715217920.

The previous prime is 30464287039. The next prime is 30464287043. The reversal of 30464287040 is 4078246403.

It is a junction number, because it is equal to n+sod(n) for n = 30464286985 and 30464287003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30464287043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14723126 + ... + 14725194.

Almost surely, 2^30464287040 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 30464287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884652800).

30464287040 is an abundant number, since it is smaller than the sum of its proper divisors (51305018560).

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

30464287040 is a wasteful number, since it uses less digits than its factorization.

30464287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 30464287040 in words is "thirty billion, four hundred sixty-four million, two hundred eighty-seven thousand, forty".