30409129786140 has 576 divisors, whose sum is σ = 112208147251200. Its totient is φ = 6511505075712.

The previous prime is 30409129786127. The next prime is 30409129786199. The reversal of 30409129786140 is 4168792190403.

30409129786140 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 9 + 12 + 9 + 7 + 8 + 614 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 933380371 + ... + 933412949.

It is an arithmetic number, because the mean of its divisors is an integer number (194805811200).

Almost surely, 2^{30409129786140} is an apocalyptic number.

30409129786140 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 30409129786140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56104073625600).

30409129786140 is an abundant number, since it is smaller than the sum of its proper divisors (81799017465060).

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

30409129786140 is a wasteful number, since it uses less digits than its factorization.

30409129786140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33054 (or 33049 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 30409129786140 in words is "thirty trillion, four hundred nine billion, one hundred twenty-nine million, seven hundred eighty-six thousand, one hundred forty".