30342975416640 has 224 divisors, whose sum is σ = 107360920517760. Its totient is φ = 8067449069568.

The previous prime is 30342975416591. The next prime is 30342975416647. The reversal of 30342975416640 is 4661457924303.

30342975416640 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 2 + 97 + 541 + 6 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30342975416647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2298882 + ... + 8122241.

It is an arithmetic number, because the mean of its divisors is an integer number (479289823740).

Almost surely, 2^{30342975416640} is an apocalyptic number.

30342975416640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30342975416640 is an abundant number, since it is smaller than the sum of its proper divisors (77017945101120).

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

30342975416640 is a wasteful number, since it uses less digits than its factorization.

30342975416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421486 (or 10421470 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 30342975416640 in words is "thirty trillion, three hundred forty-two billion, nine hundred seventy-five million, four hundred sixteen thousand, six hundred forty".