10225406400 has 168 divisors, whose sum is σ = 36597848064. Its totient is φ = 2478873600.

The previous prime is 10225406371. The next prime is 10225406413. The reversal of 10225406400 is 460452201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44032 + ... + 149631.

Almost surely, 2^10225406400 is an apocalyptic number.

10225406400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225406400 is an abundant number, since it is smaller than the sum of its proper divisors (26372441664).

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

10225406400 is a wasteful number, since it uses less digits than its factorization.

10225406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193699 (or 193684 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10225406400 its reverse (460452201), we get a palindrome (10685858601).

The spelling of 10225406400 in words is "ten billion, two hundred twenty-five million, four hundred six thousand, four hundred".