21042742600 has 96 divisors (see below), whose sum is σ = 53602417440. Its totient is φ = 7618880000.

The previous prime is 21042742583. The next prime is 21042742661. The reversal of 21042742600 is 624724012.

It is a happy number.

It is a super-2 number, since 2×21042742600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492075 + ... + 533125.

It is an arithmetic number, because the mean of its divisors is an integer number (558358515).

Almost surely, 2^21042742600 is an apocalyptic number.

21042742600 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 21042742600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26801208720).

21042742600 is an abundant number, since it is smaller than the sum of its proper divisors (32559674840).

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

21042742600 is a wasteful number, since it uses less digits than its factorization.

21042742600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41311 (or 41302 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 21042742600 in words is "twenty-one billion, forty-two million, seven hundred forty-two thousand, six hundred".