21110242400 has 72 divisors (see below), whose sum is σ = 55499666544. Its totient is φ = 7794547200.

The previous prime is 21110242399. The next prime is 21110242403. The reversal of 21110242400 is 424201112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110242403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1004516 + ... + 1025315.

It is an arithmetic number, because the mean of its divisors is an integer number (770828702).

Almost surely, 2^21110242400 is an apocalyptic number.

21110242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110242400 is an abundant number, since it is smaller than the sum of its proper divisors (34389424144).

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

21110242400 is a wasteful number, since it uses less digits than its factorization.

21110242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029864 (or 2029851 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21110242400 its reverse (424201112), we get a palindrome (21534443512).

The spelling of 21110242400 in words is "twenty-one billion, one hundred ten million, two hundred forty-two thousand, four hundred".