34242021144000 has 336 divisors, whose sum is σ = 127815049627200. Its totient is φ = 8734196275200.

The previous prime is 34242021143951. The next prime is 34242021144119. The reversal of 34242021144000 is 44112024243.

34242021144000 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 2 + 0 + 211 + 440 + 0 + 0 = 666.

It is a super-2 number, since 2×34242021144000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8682775 + ... + 11994774.

Almost surely, 2^{34242021144000} is an apocalyptic number.

34242021144000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34242021144000 is an abundant number, since it is smaller than the sum of its proper divisors (93573028483200).

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

34242021144000 is a wasteful number, since it uses less digits than its factorization.

34242021144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20677605 (or 20677582 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34242021144000 its reverse (44112024243), we get a palindrome (34286133168243).

The spelling of 34242021144000 in words is "thirty-four trillion, two hundred forty-two billion, twenty-one million, one hundred forty-four thousand".