21040066051200 has 384 divisors, whose sum is σ = 88000913712000. Its totient is φ = 4809157816320.

The previous prime is 21040066051171. The next prime is 21040066051219. The reversal of 21040066051200 is 215066004012.

21040066051200 is a `hidden beast` number, since 2 + 1 + 0 + 40 + 0 + 6 + 605 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×21040066051200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 16789435 + ... + 17999034.

It is an arithmetic number, because the mean of its divisors is an integer number (229169046125).

Almost surely, 2^{21040066051200} is an apocalyptic number.

21040066051200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21040066051200 is an abundant number, since it is smaller than the sum of its proper divisors (66960847660800).

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

21040066051200 is a wasteful number, since it uses less digits than its factorization.

21040066051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34788509 (or 34788486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21040066051200 in words is "twenty-one trillion, forty billion, sixty-six million, fifty-one thousand, two hundred".