30031044013440 has 384 divisors, whose sum is σ = 105306666192000. Its totient is φ = 7885154304000.

The previous prime is 30031044013381. The next prime is 30031044013441. The reversal of 30031044013440 is 4431044013003.

30031044013440 is a `hidden beast` number, since 3 + 0 + 0 + 310 + 4 + 4 + 0 + 1 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30031044013441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105155961 + ... + 105441159.

It is an arithmetic number, because the mean of its divisors is an integer number (274236109875).

Almost surely, 2^{30031044013440} is an apocalyptic number.

30031044013440 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 30031044013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52653333096000).

30031044013440 is an abundant number, since it is smaller than the sum of its proper divisors (75275622178560).

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

30031044013440 is a wasteful number, since it uses less digits than its factorization.

30031044013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285506 (or 285491 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30031044013440 its reverse (4431044013003), we get a palindrome (34462088026443).

The spelling of 30031044013440 in words is "thirty trillion, thirty-one billion, forty-four million, thirteen thousand, four hundred forty".