30252109343040 has 1008 divisors, whose sum is σ = 115923936360960. Its totient is φ = 7233508638720.

The previous prime is 30252109343017. The next prime is 30252109343089. The reversal of 30252109343040 is 4034390125203.

30252109343040 is a `hidden beast` number, since 3 + 0 + 2 + 5 + 210 + 9 + 3 + 430 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30252109342986 and 30252109343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4769366109 + ... + 4769372451.

It is an arithmetic number, because the mean of its divisors is an integer number (115003905120).

Almost surely, 2^{30252109343040} is an apocalyptic number.

30252109343040 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 30252109343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57961968180480).

30252109343040 is an abundant number, since it is smaller than the sum of its proper divisors (85671827017920).

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

30252109343040 is a wasteful number, since it uses less digits than its factorization.

30252109343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 30252109343040 its reverse (4034390125203), we get a palindrome (34286499468243).

The spelling of 30252109343040 in words is "thirty trillion, two hundred fifty-two billion, one hundred nine million, three hundred forty-three thousand, forty".