10142400040 has 32 divisors (see below), whose sum is σ = 23437171080. Its totient is φ = 3947311872.

The previous prime is 10142400017. The next prime is 10142400041. The reversal of 10142400040 is 4000424101.

It can be written as a sum of positive squares in 4 ways, for example, as 8070147556 + 2072252484 = 89834^2 + 45522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10142399987 and 10142400023.

It is not an unprimeable number, because it can be changed into a prime (10142400041) 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, 3425007 + ... + 3427966.

Almost surely, 2^10142400040 is an apocalyptic number.

10142400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142400040 is an abundant number, since it is smaller than the sum of its proper divisors (13294771040).

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

10142400040 is a wasteful number, since it uses less digits than its factorization.

10142400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853021 (or 6853017 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10142400040 its reverse (4000424101), we get a palindrome (14142824141).

The spelling of 10142400040 in words is "ten billion, one hundred forty-two million, four hundred thousand, forty".