30093140640 has 288 divisors, whose sum is σ = 99536423616. Its totient is φ = 7637790720.

The previous prime is 30093140573. The next prime is 30093140641. The reversal of 30093140640 is 4604139003.

It is a super-2 number, since 2×30093140640² (a number of 22 digits) contains 22 as substring.

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 = 30093140598 and 30093140607.

It is not an unprimeable number, because it can be changed into a prime (30093140641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36387907 + ... + 36388733.

It is an arithmetic number, because the mean of its divisors is an integer number (345612582).

Almost surely, 2^30093140640 is an apocalyptic number.

30093140640 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 30093140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49768211808).

30093140640 is an abundant number, since it is smaller than the sum of its proper divisors (69443282976).

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

30093140640 is a wasteful number, since it uses less digits than its factorization.

30093140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 30093140640 its reverse (4604139003), we get a palindrome (34697279643).

The spelling of 30093140640 in words is "thirty billion, ninety-three million, one hundred forty thousand, six hundred forty".