10142311440 has 160 divisors (see below), whose sum is σ = 31832248320. Its totient is φ = 2671183872.

The previous prime is 10142311427. The next prime is 10142311457. The reversal of 10142311440 is 4411324101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8198502 + ... + 8199738.

It is an arithmetic number, because the mean of its divisors is an integer number (198951552).

Almost surely, 2^10142311440 is an apocalyptic number.

10142311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916124160).

10142311440 is an abundant number, since it is smaller than the sum of its proper divisors (21689936880).

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

10142311440 is a wasteful number, since it uses less digits than its factorization.

10142311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10142311440 its reverse (4411324101), we get a palindrome (14553635541).

The spelling of 10142311440 in words is "ten billion, one hundred forty-two million, three hundred eleven thousand, four hundred forty".