10242144040 has 16 divisors (see below), whose sum is σ = 23044824180. Its totient is φ = 4096857600.

The previous prime is 10242144019. The next prime is 10242144079. The reversal of 10242144040 is 4044124201.

10242144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9801396004 + 440748036 = 99002^2 + 20994^2 .

It is a super-2 number, since 2×10242144040² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128026761 + ... + 128026840.

Almost surely, 2^10242144040 is an apocalyptic number.

10242144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242144040 is an abundant number, since it is smaller than the sum of its proper divisors (12802680140).

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

10242144040 is a wasteful number, since it uses less digits than its factorization.

10242144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256053612 (or 256053608 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10242144040 its reverse (4044124201), we get a palindrome (14286268241).

The spelling of 10242144040 in words is "ten billion, two hundred forty-two million, one hundred forty-four thousand, forty".