10405001640021 has 16 divisors (see below), whose sum is σ = 13923573408000. Its totient is φ = 6911591794688.

The previous prime is 10405001639953. The next prime is 10405001640023. The reversal of 10405001640021 is 12004610050401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10405001640021 - 2¹⁴ = 10405001623637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10405001639973 and 10405001640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405001640023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4403256 + ... + 6340241.

It is an arithmetic number, because the mean of its divisors is an integer number (870223338000).

Almost surely, 2^{10405001640021} is an apocalyptic number.

It is an amenable number.

10405001640021 is a deficient number, since it is larger than the sum of its proper divisors (3518571767979).

10405001640021 is a wasteful number, since it uses less digits than its factorization.

10405001640021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744668.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10405001640021 its reverse (12004610050401), we get a palindrome (22409611690422).

The spelling of 10405001640021 in words is "ten trillion, four hundred five billion, one million, six hundred forty thousand, twenty-one".