30361409749440 has 336 divisors, whose sum is σ = 130199189253120. Its totient is φ = 6308864317440.

The previous prime is 30361409749399. The next prime is 30361409749453. The reversal of 30361409749440 is 4494790416303.

30361409749440 is a `hidden beast` number, since 3 + 0 + 3 + 6 + 140 + 9 + 7 + 494 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 68233800 + ... + 68677319.

Almost surely, 2^{30361409749440} is an apocalyptic number.

30361409749440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30361409749440 is an abundant number, since it is smaller than the sum of its proper divisors (99837779503680).

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

30361409749440 is a wasteful number, since it uses less digits than its factorization.

30361409749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136911160 (or 136911147 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 30361409749440 in words is "thirty trillion, three hundred sixty-one billion, four hundred nine million, seven hundred forty-nine thousand, four hundred forty".