21114014240040 has 128 divisors (see below), whose sum is σ = 63387938482560. Its totient is φ = 5626325827584.

The previous prime is 21114014240003. The next prime is 21114014240141. The reversal of 21114014240040 is 4004241041112.

It is a super-2 number, since 2×21114014240040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1062758187 + ... + 1062778053.

It is an arithmetic number, because the mean of its divisors is an integer number (495218269395).

Almost surely, 2^{21114014240040} is an apocalyptic number.

21114014240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21114014240040 is an abundant number, since it is smaller than the sum of its proper divisors (42273924242520).

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

21114014240040 is a wasteful number, since it uses less digits than its factorization.

21114014240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25851 (or 25847 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 21114014240040 its reverse (4004241041112), we get a palindrome (25118255281152).

The spelling of 21114014240040 in words is "twenty-one trillion, one hundred fourteen billion, fourteen million, two hundred forty thousand, forty".