10040042400 has 72 divisors (see below), whose sum is σ = 32680345824. Its totient is φ = 2677344000.

The previous prime is 10040042293. The next prime is 10040042401. The reversal of 10040042400 is 424004001.

10040042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10040042400.

It is not an unprimeable number, because it can be changed into a prime (10040042401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2089276 + ... + 2094075.

It is an arithmetic number, because the mean of its divisors is an integer number (453893692).

Almost surely, 2^10040042400 is an apocalyptic number.

10040042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040042400 is an abundant number, since it is smaller than the sum of its proper divisors (22640303424).

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

10040042400 is a wasteful number, since it uses less digits than its factorization.

10040042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183374 (or 4183361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10040042400 its reverse (424004001), we get a palindrome (10464046401).

The spelling of 10040042400 in words is "ten billion, forty million, forty-two thousand, four hundred".