10142201144440 has 64 divisors (see below), whose sum is σ = 24189544641600. Its totient is φ = 3813935536128.

The previous prime is 10142201144419. The next prime is 10142201144479. The reversal of 10142201144440 is 4444110224101.

10142201144440 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 = 10142201144399 and 10142201144408.

It is a congruent number.

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, 7804395 + ... + 9010714.

It is an arithmetic number, because the mean of its divisors is an integer number (377961635025).

Almost surely, 2^{10142201144440} is an apocalyptic number.

10142201144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142201144440 is an abundant number, since it is smaller than the sum of its proper divisors (14047343497160).

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

10142201144440 is a wasteful number, since it uses less digits than its factorization.

10142201144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16816024 (or 16816020 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10142201144440 its reverse (4444110224101), we get a palindrome (14586311368541).

The spelling of 10142201144440 in words is "ten trillion, one hundred forty-two billion, two hundred one million, one hundred forty-four thousand, four hundred forty".