30643130344140 has 288 divisors, whose sum is σ = 94255083336960. Its totient is φ = 8057568960000.

The previous prime is 30643130344133. The next prime is 30643130344147. The reversal of 30643130344140 is 4144303134603.

30643130344140 is a `hidden beast` number, since 3 + 0 + 6 + 43 + 130 + 3 + 441 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (30643130344133) and next prime (30643130344147).

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 = 30643130344095 and 30643130344104.

It is not an unprimeable number, because it can be changed into a prime (30643130344147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5422600315 + ... + 5422605965.

It is an arithmetic number, because the mean of its divisors is an integer number (327274594920).

Almost surely, 2^{30643130344140} is an apocalyptic number.

30643130344140 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 30643130344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47127541668480).

30643130344140 is an abundant number, since it is smaller than the sum of its proper divisors (63611952992820).

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

30643130344140 is a wasteful number, since it uses less digits than its factorization.

30643130344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 30643130344140 its reverse (4144303134603), we get a palindrome (34787433478743).

The spelling of 30643130344140 in words is "thirty trillion, six hundred forty-three billion, one hundred thirty million, three hundred forty-four thousand, one hundred forty".