10140342104400 has 60 divisors (see below), whose sum is σ = 32482895878272. Its totient is φ = 2704091227520.

The previous prime is 10140342104377. The next prime is 10140342104441. The reversal of 10140342104400 is 440124304101.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 4225141344 + ... + 4225143743.

Almost surely, 2^{10140342104400} is an apocalyptic number.

10140342104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140342104400 is an abundant number, since it is smaller than the sum of its proper divisors (22342553773872).

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

10140342104400 is a wasteful number, since it uses less digits than its factorization.

10140342104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450285108 (or 8450285097 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10140342104400 its reverse (440124304101), we get a palindrome (10580466408501).

The spelling of 10140342104400 in words is "ten trillion, one hundred forty billion, three hundred forty-two million, one hundred four thousand, four hundred".