10025233400 has 144 divisors (see below), whose sum is σ = 29200240440. Its totient is φ = 3172780800.

The previous prime is 10025233373. The next prime is 10025233411. The reversal of 10025233400 is 433252001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88055 + ... + 166745.

Almost surely, 2^10025233400 is an apocalyptic number.

10025233400 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 10025233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14600120220).

10025233400 is an abundant number, since it is smaller than the sum of its proper divisors (19175007040).

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

10025233400 is a wasteful number, since it uses less digits than its factorization.

10025233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78734 (or 78718 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10025233400 its reverse (433252001), we get a palindrome (10458485401).

The spelling of 10025233400 in words is "ten billion, twenty-five million, two hundred thirty-three thousand, four hundred".