10402400340405 has 24 divisors (see below), whose sum is σ = 18034716086712. Its totient is φ = 5546750285184.

The previous prime is 10402400340379. The next prime is 10402400340407. The reversal of 10402400340405 is 50404300420401.

It is a happy number.

10402400340405 is a `hidden beast` number, since 1 + 0 + 40 + 240 + 0 + 340 + 40 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34760246481 + 10367640093924 = 186441^2 + 3219882^2 .

It is not a de Polignac number, because 10402400340405 - 2⁵ = 10402400340373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402400340407) 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, 24717414 + ... + 25134743.

It is an arithmetic number, because the mean of its divisors is an integer number (751446503613).

Almost surely, 2^{10402400340405} is an apocalyptic number.

10402400340405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10402400340405 is a deficient number, since it is larger than the sum of its proper divisors (7632315746307).

10402400340405 is a wasteful number, since it uses less digits than its factorization.

10402400340405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49856805 (or 49856802 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10402400340405 its reverse (50404300420401), we get a palindrome (60806700760806).

The spelling of 10402400340405 in words is "ten trillion, four hundred two billion, four hundred million, three hundred forty thousand, four hundred five".