10042023400 has 48 divisors (see below), whose sum is σ = 23917180140. Its totient is φ = 3918835200.

The previous prime is 10042023373. The next prime is 10042023413. The reversal of 10042023400 is 432024001.

10042023400 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 6 ways, for example, as 7193124 + 10034830276 = 2682^2 + 100174^2 .

It is a super-2 number, since 2×10042023400² (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 11 ways as a sum of consecutive naturals, for example, 604119 + ... + 620518.

Almost surely, 2^10042023400 is an apocalyptic number.

10042023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042023400 is an abundant number, since it is smaller than the sum of its proper divisors (13875156740).

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

10042023400 is a wasteful number, since it uses less digits than its factorization.

10042023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224694 (or 1224685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10042023400 its reverse (432024001), we get a palindrome (10474047401).

The spelling of 10042023400 in words is "ten billion, forty-two million, twenty-three thousand, four hundred".