21014201414040 has 64 divisors (see below), whose sum is σ = 63196742786400. Its totient is φ = 5590085839872.

The previous prime is 21014201414029. The next prime is 21014201414093. The reversal of 21014201414040 is 4041410241012.

It is a super-2 number, since 2×21014201414040² (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 a self number, because there is not a number n which added to its sum of digits gives 21014201414040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214032027 + ... + 214130186.

Almost surely, 2^{21014201414040} is an apocalyptic number.

21014201414040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21014201414040 is an abundant number, since it is smaller than the sum of its proper divisors (42182541372360).

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

21014201414040 is a wasteful number, since it uses less digits than its factorization.

21014201414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428162636 (or 428162632 counting only the distinct ones).

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

Adding to 21014201414040 its reverse (4041410241012), we get a palindrome (25055611655052).

The spelling of 21014201414040 in words is "twenty-one trillion, fourteen billion, two hundred one million, four hundred fourteen thousand, forty".