30213442121040 has 240 divisors, whose sum is σ = 106946153467920. Its totient is φ = 7632317521920.

The previous prime is 30213442120999. The next prime is 30213442121077. The reversal of 30213442121040 is 4012124431203.

30213442121040 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 3 + 442 + 1 + 210 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19691947584 + 30193750173456 = 140328^2 + 5494884^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 30213442120995 and 30213442121013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12544341 + ... + 14757620.

It is an arithmetic number, because the mean of its divisors is an integer number (445608972783).

Almost surely, 2^{30213442121040} is an apocalyptic number.

30213442121040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30213442121040 is an abundant number, since it is smaller than the sum of its proper divisors (76732711346880).

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

30213442121040 is a wasteful number, since it uses less digits than its factorization.

30213442121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27302062 (or 27302053 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30213442121040 its reverse (4012124431203), we get a palindrome (34225566552243).

The spelling of 30213442121040 in words is "thirty trillion, two hundred thirteen billion, four hundred forty-two million, one hundred twenty-one thousand, forty".