10142404135340 has 48 divisors (see below), whose sum is σ = 21307988151072. Its totient is φ = 4055259326976.

The previous prime is 10142404135321. The next prime is 10142404135351. The reversal of 10142404135340 is 4353140424101.

10142404135340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10142404135297 and 10142404135306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697688552 + ... + 697703088.

It is an arithmetic number, because the mean of its divisors is an integer number (443916419814).

Almost surely, 2^{10142404135340} is an apocalyptic number.

10142404135340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142404135340 is an abundant number, since it is smaller than the sum of its proper divisors (11165584015732).

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

10142404135340 is a wasteful number, since it uses less digits than its factorization.

10142404135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26786 (or 26784 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 10142404135340 its reverse (4353140424101), we get a palindrome (14495544559441).

The spelling of 10142404135340 in words is "ten trillion, one hundred forty-two billion, four hundred four million, one hundred thirty-five thousand, three hundred forty".