10402400340432 has 30 divisors (see below), whose sum is σ = 29112273175362. Its totient is φ = 3467466780096.

The previous prime is 10402400340407. The next prime is 10402400340523. The reversal of 10402400340432 is 23404300420401.

It is a happy number.

10402400340432 is a `hidden beast` number, since 1 + 0 + 40 + 240 + 0 + 340 + 43 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5281521000336 + 5120879340096 = 2298156^2 + 2262936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10402400340396 and 10402400340405.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 36119445483 + ... + 36119445770.

Almost surely, 2^{10402400340432} is an apocalyptic number.

10402400340432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10402400340432 is an abundant number, since it is smaller than the sum of its proper divisors (18709872834930).

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

10402400340432 is a wasteful number, since it uses less digits than its factorization.

10402400340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72238891267 (or 72238891258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10402400340432 its reverse (23404300420401), we get a palindrome (33806700760833).

The spelling of 10402400340432 in words is "ten trillion, four hundred two billion, four hundred million, three hundred forty thousand, four hundred thirty-two".