10142045440 has 72 divisors (see below), whose sum is σ = 24691810248. Its totient is φ = 3990282240.

The previous prime is 10142045429. The next prime is 10142045443. The reversal of 10142045440 is 4454024101.

It can be written as a sum of positive squares in 4 ways, for example, as 559984896 + 9582060544 = 23664^2 + 97888^2 .

It is a super-2 number, since 2×10142045440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142045443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13134 + ... + 143026.

It is an arithmetic number, because the mean of its divisors is an integer number (342941809).

Almost surely, 2^10142045440 is an apocalyptic number.

10142045440 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 10142045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12345905124).

10142045440 is an abundant number, since it is smaller than the sum of its proper divisors (14549764808).

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

10142045440 is an equidigital number, since it uses as much as digits as its factorization.

10142045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129975 (or 129961 counting only the distinct ones).

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

Adding to 10142045440 its reverse (4454024101), we get a palindrome (14596069541).

The spelling of 10142045440 in words is "ten billion, one hundred forty-two million, forty-five thousand, four hundred forty".