10405001003652 has 36 divisors (see below), whose sum is σ = 26661825257340. Its totient is φ = 3420822246912.

The previous prime is 10405001003641. The next prime is 10405001003699. The reversal of 10405001003652 is 25630010050401.

10405001003652 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 0 + 0 + 1 + 0 + 0 + 3 + 652 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4402040394816 + 6002960608836 = 2098104^2 + 2450094^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1979639877 + ... + 1979645132.

Almost surely, 2^{10405001003652} is an apocalyptic number.

10405001003652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10405001003652 is an abundant number, since it is smaller than the sum of its proper divisors (16256824253688).

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

10405001003652 is a wasteful number, since it uses less digits than its factorization.

10405001003652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959285092 (or 3959285087 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10405001003652 in words is "ten trillion, four hundred five billion, one million, three thousand, six hundred fifty-two".