30630133440 has 168 divisors, whose sum is σ = 105593997600. Its totient is φ = 8149499904.

The previous prime is 30630133397. The next prime is 30630133483. The reversal of 30630133440 is 4433103603.

30630133440 is a `hidden beast` number, since 30 + 63 + 0 + 133 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (30630133397) and next prime (30630133483).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281277 + ... + 1304963.

It is an arithmetic number, because the mean of its divisors is an integer number (628535700).

Almost surely, 2^30630133440 is an apocalyptic number.

30630133440 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 30630133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52796998800).

30630133440 is an abundant number, since it is smaller than the sum of its proper divisors (74963864160).

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

30630133440 is a wasteful number, since it uses less digits than its factorization.

30630133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24159 (or 24146 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 30630133440 in words is "thirty billion, six hundred thirty million, one hundred thirty-three thousand, four hundred forty".