21055434042240 has 192 divisors, whose sum is σ = 78299895623040. Its totient is φ = 5182876053504.

The previous prime is 21055434042229. The next prime is 21055434042341. The reversal of 21055434042240 is 4224043455012.

21055434042240 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 5 + 4 + 3 + 404 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×21055434042240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21055434042195 and 21055434042204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140519632 + ... + 140669391.

It is an arithmetic number, because the mean of its divisors is an integer number (407811956370).

Almost surely, 2^{21055434042240} is an apocalyptic number.

21055434042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21055434042240 is an abundant number, since it is smaller than the sum of its proper divisors (57244461580800).

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

21055434042240 is a wasteful number, since it uses less digits than its factorization.

21055434042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281189061 (or 281189046 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 21055434042240 its reverse (4224043455012), we get a palindrome (25279477497252).

The spelling of 21055434042240 in words is "twenty-one trillion, fifty-five billion, four hundred thirty-four million, forty-two thousand, two hundred forty".