30252413399040 has 3328 divisors, whose sum is σ = 135274954752000. Its totient is φ = 6260533493760.

The previous prime is 30252413398969. The next prime is 30252413399063. The reversal of 30252413399040 is 4099331425203.

30252413399040 is a `hidden beast` number, since 3 + 0 + 2 + 524 + 1 + 3 + 39 + 90 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 238207979457 + ... + 238207979583.

Almost surely, 2^{30252413399040} is an apocalyptic number.

30252413399040 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 30252413399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67637477376000).

30252413399040 is an abundant number, since it is smaller than the sum of its proper divisors (105022541352960).

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

30252413399040 is a wasteful number, since it uses less digits than its factorization.

30252413399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 30252413399040 in words is "thirty trillion, two hundred fifty-two billion, four hundred thirteen million, three hundred ninety-nine thousand, forty".