27234121641408 has 1568 divisors, whose sum is σ = 95370486220800. Its totient is φ = 7625792563200.

The previous prime is 27234121641329. The next prime is 27234121641413. The reversal of 27234121641408 is 80414612143272.

27234121641408 is a `hidden beast` number, since 2 + 7 + 2 + 341 + 2 + 164 + 140 + 8 = 666.

It is a super-2 number, since 2×27234121641408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 96233645235 + ... + 96233645517.

Almost surely, 2^{27234121641408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27234121641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47685243110400).

27234121641408 is an abundant number, since it is smaller than the sum of its proper divisors (68136364579392).

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

27234121641408 is a wasteful number, since it uses less digits than its factorization.

27234121641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 27234121641408 in words is "twenty-seven trillion, two hundred thirty-four billion, one hundred twenty-one million, six hundred forty-one thousand, four hundred eight".