30281468742720 has 560 divisors, whose sum is σ = 116849308081968. Its totient is φ = 7399480688640.

The previous prime is 30281468742713. The next prime is 30281468742727. The reversal of 30281468742720 is 2724786418203.

30281468742720 is a `hidden beast` number, since 3 + 0 + 2 + 81 + 46 + 87 + 427 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (30281468742713) and next prime (30281468742727).

It can be written as a sum of positive squares in 8 ways, for example, as 5880081812544 + 24401386930176 = 2424888^2 + 4939776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30281468742727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45835540 + ... + 46491500.

Almost surely, 2^{30281468742720} is an apocalyptic number.

30281468742720 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 30281468742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58424654040984).

30281468742720 is an abundant number, since it is smaller than the sum of its proper divisors (86567839339248).

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

30281468742720 is a wasteful number, since it uses less digits than its factorization.

30281468742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656140 (or 656121 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 30281468742720 in words is "thirty trillion, two hundred eighty-one billion, four hundred sixty-eight million, seven hundred forty-two thousand, seven hundred twenty".