30399340028148 has 576 divisors, whose sum is σ = 106765180462080. Its totient is φ = 7385233895424.

The previous prime is 30399340028137. The next prime is 30399340028227. The reversal of 30399340028148 is 84182004399303.

30399340028148 is a `hidden beast` number, since 3 + 0 + 3 + 9 + 93 + 400 + 2 + 8 + 148 = 666.

It is a super-3 number, since 3×30399340028148³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 30399340028094 and 30399340028103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54691486 + ... + 55244522.

It is an arithmetic number, because the mean of its divisors is an integer number (185356216080).

Almost surely, 2^{30399340028148} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30399340028148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53382590231040).

30399340028148 is an abundant number, since it is smaller than the sum of its proper divisors (76365840433932).

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

30399340028148 is a wasteful number, since it uses less digits than its factorization.

30399340028148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553141 (or 553126 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 30399340028148 in words is "thirty trillion, three hundred ninety-nine billion, three hundred forty million, twenty-eight thousand, one hundred forty-eight".