21933679703040 has 2816 divisors, whose sum is σ = 97185717043200. Its totient is φ = 4577977958400.

The previous prime is 21933679703021. The next prime is 21933679703041. The reversal of 21933679703040 is 4030797633912.

21933679703040 is a `hidden beast` number, since 2 + 193 + 3 + 67 + 97 + 0 + 304 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (21933679703041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 103951088535 + ... + 103951088745.

Almost surely, 2^{21933679703040} is an apocalyptic number.

21933679703040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21933679703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48592858521600).

21933679703040 is an abundant number, since it is smaller than the sum of its proper divisors (75252037340160).

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

21933679703040 is a wasteful number, since it uses less digits than its factorization.

21933679703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 21933679703040 in words is "twenty-one trillion, nine hundred thirty-three billion, six hundred seventy-nine million, seven hundred three thousand, forty".