10023402400 has 144 divisors (see below), whose sum is σ = 27199071648. Its totient is φ = 3575936000.

The previous prime is 10023402371. The next prime is 10023402437. The reversal of 10023402400 is 420432001.

10023402400 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 (16).

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 23 ways as a sum of consecutive naturals, for example, 455655 + ... + 477145.

It is an arithmetic number, because the mean of its divisors is an integer number (188882442).

Almost surely, 2^10023402400 is an apocalyptic number.

10023402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13599535824).

10023402400 is an abundant number, since it is smaller than the sum of its proper divisors (17175669248).

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

10023402400 is a wasteful number, since it uses less digits than its factorization.

10023402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21575 (or 21562 counting only the distinct ones).

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

Adding to 10023402400 its reverse (420432001), we get a palindrome (10443834401).

The spelling of 10023402400 in words is "ten billion, twenty-three million, four hundred two thousand, four hundred".