30285923799040 has 1664 divisors, whose sum is σ = 96349586522112. Its totient is φ = 8882466324480.

The previous prime is 30285923798993. The next prime is 30285923799091. The reversal of 30285923799040 is 4099732958203.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-3 number, since 3×30285923799040³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30285923799040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181352837037 + ... + 181352837203.

Almost surely, 2^{30285923799040} 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 30285923799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48174793261056).

30285923799040 is an abundant number, since it is smaller than the sum of its proper divisors (66063662723072).

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

30285923799040 is a wasteful number, since it uses less digits than its factorization.

30285923799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 30285923799040 in words is "thirty trillion, two hundred eighty-five billion, nine hundred twenty-three million, seven hundred ninety-nine thousand, forty".