30221527818240 has 896 divisors, whose sum is σ = 118009501344000. Its totient is φ = 7276823838720.

The previous prime is 30221527818221. The next prime is 30221527818241. The reversal of 30221527818240 is 4281872512203.

30221527818240 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 1 + 527 + 8 + 1 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30221527818241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1812594544 + ... + 1812611216.

It is an arithmetic number, because the mean of its divisors is an integer number (131707032750).

Almost surely, 2^{30221527818240} is an apocalyptic number.

30221527818240 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 30221527818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59004750672000).

30221527818240 is an abundant number, since it is smaller than the sum of its proper divisors (87787973525760).

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

30221527818240 is a wasteful number, since it uses less digits than its factorization.

30221527818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16873 (or 16843 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 30221527818240 in words is "thirty trillion, two hundred twenty-one billion, five hundred twenty-seven million, eight hundred eighteen thousand, two hundred forty".