21140024004001 has 16 divisors (see below), whose sum is σ = 24841301304960. Its totient is φ = 17612351061120.

The previous prime is 21140024003933. The next prime is 21140024004037. The reversal of 21140024004001 is 10040042004112.

It is a cyclic number.

It is not a de Polignac number, because 21140024004001 - 2¹¹ = 21140024001953 is a prime.

It is a super-2 number, since 2×21140024004001² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21140024004001.

It is not an unprimeable number, because it can be changed into a prime (21140024004091) 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, 136834731 + ... + 136989136.

It is an arithmetic number, because the mean of its divisors is an integer number (1552581331560).

Almost surely, 2^{21140024004001} is an apocalyptic number.

It is an amenable number.

21140024004001 is a deficient number, since it is larger than the sum of its proper divisors (3701277300959).

21140024004001 is a wasteful number, since it uses less digits than its factorization.

21140024004001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273824184.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21140024004001 its reverse (10040042004112), we get a palindrome (31180066008113).

The spelling of 21140024004001 in words is "twenty-one trillion, one hundred forty billion, twenty-four million, four thousand, one".