30133543440 has 640 divisors, whose sum is σ = 128383782912. Its totient is φ = 5643509760.

The previous prime is 30133543399. The next prime is 30133543469. The reversal of 30133543440 is 4434533103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30133543398 and 30133543407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10328862 + ... + 10331778.

Almost surely, 2^30133543440 is an apocalyptic number.

30133543440 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 30133543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64191891456).

30133543440 is an abundant number, since it is smaller than the sum of its proper divisors (98250239472).

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

30133543440 is a wasteful number, since it uses less digits than its factorization.

30133543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

It can be divided in two parts, 3013 and 3543440, that added together give a palindrome (3546453).

The spelling of 30133543440 in words is "thirty billion, one hundred thirty-three million, five hundred forty-three thousand, four hundred forty".