10440235605645 has 24 divisors (see below), whose sum is σ = 18437850054936. Its totient is φ = 5463066680448.

The previous prime is 10440235605643. The next prime is 10440235605697. The reversal of 10440235605645 is 54650653204401.

10440235605645 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 2 + 35 + 605 + 6 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 718149468969 + 9722086136676 = 847437^2 + 3118026^2 .

It is not a de Polignac number, because 10440235605645 - 2¹ = 10440235605643 is a prime.

It is a super-3 number, since 3×10440235605645³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10440235605645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440235605643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2188726254 + ... + 2188731023.

It is an arithmetic number, because the mean of its divisors is an integer number (768243752289).

Almost surely, 2^{10440235605645} is an apocalyptic number.

10440235605645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10440235605645 is a deficient number, since it is larger than the sum of its proper divisors (7997614449291).

10440235605645 is a wasteful number, since it uses less digits than its factorization.

10440235605645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377457341 (or 4377457338 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 10440235605645 in words is "ten trillion, four hundred forty billion, two hundred thirty-five million, six hundred five thousand, six hundred forty-five".