30342403418880 has 576 divisors, whose sum is σ = 112074379941888. Its totient is φ = 6852758077440.

The previous prime is 30342403418843. The next prime is 30342403418881. The reversal of 30342403418880 is 8881430424303.

It is a super-2 number, since 2×30342403418880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (30342403418881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1265256490 + ... + 1265280470.

It is an arithmetic number, because the mean of its divisors is an integer number (194573576288).

Almost surely, 2^{30342403418880} is an apocalyptic number.

30342403418880 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 30342403418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56037189970944).

30342403418880 is an abundant number, since it is smaller than the sum of its proper divisors (81731976523008).

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

30342403418880 is a wasteful number, since it uses less digits than its factorization.

30342403418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24572 (or 24558 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 30342403418880 in words is "thirty trillion, three hundred forty-two billion, four hundred three million, four hundred eighteen thousand, eight hundred eighty".