10042401024 has 108 divisors (see below), whose sum is σ = 30658056156. Its totient is φ = 3150544896.

The previous prime is 10042401011. The next prime is 10042401043. The reversal of 10042401024 is 42010424001.

It can be written as a sum of positive squares in 2 ways, for example, as 7299993600 + 2742407424 = 85440^2 + 52368^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10042400988 and 10042401006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89029 + ... + 167364.

Almost surely, 2^10042401024 is an apocalyptic number.

It is an amenable number.

10042401024 is an abundant number, since it is smaller than the sum of its proper divisors (20615655132).

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

10042401024 is a wasteful number, since it uses less digits than its factorization.

10042401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256432 (or 256415 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10042401024 its reverse (42010424001), we get a palindrome (52052825025).

The spelling of 10042401024 in words is "ten billion, forty-two million, four hundred one thousand, twenty-four".