30117317461140 has 432 divisors, whose sum is σ = 106874695505088. Its totient is φ = 6315421851648.

The previous prime is 30117317461117. The next prime is 30117317461159. The reversal of 30117317461140 is 4116471371103.

It is a super-2 number, since 2×30117317461140² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 80802244 + ... + 81174116.

It is an arithmetic number, because the mean of its divisors is an integer number (247395128484).

Almost surely, 2^{30117317461140} is an apocalyptic number.

30117317461140 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 30117317461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53437347752544).

30117317461140 is an abundant number, since it is smaller than the sum of its proper divisors (76757378043948).

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

30117317461140 is a wasteful number, since it uses less digits than its factorization.

30117317461140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372088 (or 372066 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 30117317461140 in words is "thirty trillion, one hundred seventeen billion, three hundred seventeen million, four hundred sixty-one thousand, one hundred forty".