30101293081440 has 1536 divisors, whose sum is σ = 127975292928000. Its totient is φ = 6544522967040.

The previous prime is 30101293081417. The next prime is 30101293081441. The reversal of 30101293081440 is 4418039210103.

30101293081440 is a `hidden beast` number, since 3 + 0 + 10 + 129 + 3 + 0 + 81 + 440 = 666.

It is a super-2 number, since 2×30101293081440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30101293081395 and 30101293081404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30101293081441) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 4480022401 + ... + 4480029119.

It is an arithmetic number, because the mean of its divisors is an integer number (83317248000).

Almost surely, 2^{30101293081440} is an apocalyptic number.

30101293081440 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 30101293081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63987646464000).

30101293081440 is an abundant number, since it is smaller than the sum of its proper divisors (97873999846560).

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

30101293081440 is an equidigital number, since it uses as much as digits as its factorization.

30101293081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 30101293081440 in words is "thirty trillion, one hundred one billion, two hundred ninety-three million, eighty-one thousand, four hundred forty".