10142405440000 has 100 divisors (see below), whose sum is σ = 25323146666334. Its totient is φ = 4056962048000.

The previous prime is 10142405439967. The next prime is 10142405440021. The reversal of 10142405440000 is 4450424101.

It can be written as a sum of positive squares in 5 ways, for example, as 495368222976 + 9647037217024 = 703824^2 + 3105968^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15527509 + ... + 16167508.

Almost surely, 2^{10142405440000} is an apocalyptic number.

10142405440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142405440000 is an abundant number, since it is smaller than the sum of its proper divisors (15180741226334).

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

10142405440000 is an frugal number, since it uses more digits than its factorization.

10142405440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31695055 (or 31695024 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10142405440000 its reverse (4450424101), we get a palindrome (10146855864101).

The spelling of 10142405440000 in words is "ten trillion, one hundred forty-two billion, four hundred five million, four hundred forty thousand".