10024403400 has 192 divisors, whose sum is σ = 37667678400. Its totient is φ = 2430144000.

The previous prime is 10024403383. The next prime is 10024403429. The reversal of 10024403400 is 430442001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24981 + ... + 143780.

It is an arithmetic number, because the mean of its divisors is an integer number (196185825).

Almost surely, 2^10024403400 is an apocalyptic number.

10024403400 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 10024403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18833839200).

10024403400 is an abundant number, since it is smaller than the sum of its proper divisors (27643275000).

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

10024403400 is a wasteful number, since it uses less digits than its factorization.

10024403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168797 (or 168782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10024403400 its reverse (430442001), we get a palindrome (10454845401).

The spelling of 10024403400 in words is "ten billion, twenty-four million, four hundred three thousand, four hundred".