30040594633728 has 1320 divisors, whose sum is σ = 111368556002880. Its totient is φ = 8014062551040.

The previous prime is 30040594633667. The next prime is 30040594633741. The reversal of 30040594633728 is 82733649504003.

30040594633728 is a `hidden beast` number, since 3 + 0 + 0 + 40 + 594 + 6 + 3 + 3 + 7 + 2 + 8 = 666.

It is a super-3 number, since 3×30040594633728³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9051096453 + ... + 9051099771.

It is an arithmetic number, because the mean of its divisors is an integer number (84370118184).

Almost surely, 2^{30040594633728} 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 30040594633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55684278001440).

30040594633728 is an abundant number, since it is smaller than the sum of its proper divisors (81327961369152).

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

30040594633728 is a wasteful number, since it uses less digits than its factorization.

30040594633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 30040594633728 in words is "thirty trillion, forty billion, five hundred ninety-four million, six hundred thirty-three thousand, seven hundred twenty-eight".