21413120103040 has 128 divisors (see below), whose sum is σ = 52844780894400. Its totient is φ = 8292019126272.

The previous prime is 21413120103031. The next prime is 21413120103049. The reversal of 21413120103040 is 4030102131412.

It is an interprime number because it is at equal distance from previous prime (21413120103031) and next prime (21413120103049).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×21413120103040³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21413120103049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333130 + ... + 6552649.

Almost surely, 2^{21413120103040} is an apocalyptic number.

21413120103040 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 21413120103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422390447200).

21413120103040 is an abundant number, since it is smaller than the sum of its proper divisors (31431660791360).

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

21413120103040 is a wasteful number, since it uses less digits than its factorization.

21413120103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885954 (or 6885942 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21413120103040 its reverse (4030102131412), we get a palindrome (25443222234452).

The spelling of 21413120103040 in words is "twenty-one trillion, four hundred thirteen billion, one hundred twenty million, one hundred three thousand, forty".