30422756364000 has 768 divisors, whose sum is σ = 133815929554944. Its totient is φ = 5835331584000.

The previous prime is 30422756363977. The next prime is 30422756364001. The reversal of 30422756364000 is 46365722403.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30422756364001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10745652 + ... + 13278348.

It is an arithmetic number, because the mean of its divisors is an integer number (174239491608).

Almost surely, 2^{30422756364000} is an apocalyptic number.

30422756364000 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 30422756364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66907964777472).

30422756364000 is an abundant number, since it is smaller than the sum of its proper divisors (103393173190944).

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

30422756364000 is a wasteful number, since it uses less digits than its factorization.

30422756364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532756 (or 2532738 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 30422756364000 in words is "thirty trillion, four hundred twenty-two billion, seven hundred fifty-six million, three hundred sixty-four thousand".