30442255224390 has 192 divisors, whose sum is σ = 82144537413120. Its totient is φ = 7818312015360.

The previous prime is 30442255224373. The next prime is 30442255224391. The reversal of 30442255224390 is 9342255224403.

30442255224390 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 2 + 2 + 552 + 2 + 4 + 3 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442255224391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46880469 + ... + 47525391.

It is an arithmetic number, because the mean of its divisors is an integer number (427836132360).

Almost surely, 2^{30442255224390} is an apocalyptic number.

30442255224390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30442255224390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41072268706560).

30442255224390 is an abundant number, since it is smaller than the sum of its proper divisors (51702282188730).

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

30442255224390 is a wasteful number, since it uses less digits than its factorization.

30442255224390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645179 (or 645176 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 30442255224390 in words is "thirty trillion, four hundred forty-two billion, two hundred fifty-five million, two hundred twenty-four thousand, three hundred ninety".