10142203111440 has 80 divisors (see below), whose sum is σ = 33095610168000. Its totient is φ = 2562240784896.

The previous prime is 10142203111423. The next prime is 10142203111451. The reversal of 10142203111440 is 4411130224101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10142203111440.

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 15 ways as a sum of consecutive naturals, for example, 1112079115 + ... + 1112088234.

It is an arithmetic number, because the mean of its divisors is an integer number (413695127100).

Almost surely, 2^{10142203111440} is an apocalyptic number.

10142203111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142203111440 is an abundant number, since it is smaller than the sum of its proper divisors (22953407056560).

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

10142203111440 is a wasteful number, since it uses less digits than its factorization.

10142203111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224167384 (or 2224167378 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10142203111440 its reverse (4411130224101), we get a palindrome (14553333335541).

The spelling of 10142203111440 in words is "ten trillion, one hundred forty-two billion, two hundred three million, one hundred eleven thousand, four hundred forty".