30141532270080 has 960 divisors, whose sum is σ = 134495431741440. Its totient is φ = 6263163371520.

The previous prime is 30141532270043. The next prime is 30141532270093. The reversal of 30141532270080 is 8007223514103.

30141532270080 is a `hidden beast` number, since 3 + 0 + 1 + 41 + 532 + 2 + 7 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58287217 + ... + 58802063.

It is an arithmetic number, because the mean of its divisors is an integer number (140099408064).

Almost surely, 2^{30141532270080} is an apocalyptic number.

30141532270080 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 30141532270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67247715870720).

30141532270080 is an abundant number, since it is smaller than the sum of its proper divisors (104353899471360).

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

30141532270080 is a wasteful number, since it uses less digits than its factorization.

30141532270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514908 (or 514875 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 30141532270080 its reverse (8007223514103), we get a palindrome (38148755784183).

The spelling of 30141532270080 in words is "thirty trillion, one hundred forty-one billion, five hundred thirty-two million, two hundred seventy thousand, eighty".