21400111040 has 336 divisors, whose sum is σ = 65916133344. Its totient is φ = 6541516800.

The previous prime is 21400111021. The next prime is 21400111049. The reversal of 21400111040 is 4011100412.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21400111049) by changing a digit.

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, 9140270 + ... + 9142610.

Almost surely, 2^21400111040 is an apocalyptic number.

21400111040 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 21400111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32958066672).

21400111040 is an abundant number, since it is smaller than the sum of its proper divisors (44516022304).

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

21400111040 is a wasteful number, since it uses less digits than its factorization.

21400111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21400111040 its reverse (4011100412), we get a palindrome (25411211452).

The spelling of 21400111040 in words is "twenty-one billion, four hundred million, one hundred eleven thousand, forty".