30133114440000 has 560 divisors, whose sum is σ = 117044500520640. Its totient is φ = 6743070720000.

The previous prime is 30133114439957. The next prime is 30133114440019. The reversal of 30133114440000 is 4441133103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16281996 + ... + 18038004.

It is an arithmetic number, because the mean of its divisors is an integer number (209008036644).

Almost surely, 2^{30133114440000} is an apocalyptic number.

30133114440000 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 30133114440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58522250260320).

30133114440000 is an abundant number, since it is smaller than the sum of its proper divisors (86911386080640).

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

30133114440000 is a wasteful number, since it uses less digits than its factorization.

30133114440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756068 (or 1756043 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30133114440000 its reverse (4441133103), we get a palindrome (30137555573103).

The spelling of 30133114440000 in words is "thirty trillion, one hundred thirty-three billion, one hundred fourteen million, four hundred forty thousand".