10212406400 has 192 divisors, whose sum is σ = 29019065280. Its totient is φ = 3478671360.

The previous prime is 10212406397. The next prime is 10212406409. The reversal of 10212406400 is 460421201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212406409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3649802 + ... + 3652598.

It is an arithmetic number, because the mean of its divisors is an integer number (151140965).

Almost surely, 2^10212406400 is an apocalyptic number.

10212406400 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 10212406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509532640).

10212406400 is an abundant number, since it is smaller than the sum of its proper divisors (18806658880).

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

10212406400 is a wasteful number, since it uses less digits than its factorization.

10212406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10212406400 its reverse (460421201), we get a palindrome (10672827601).

The spelling of 10212406400 in words is "ten billion, two hundred twelve million, four hundred six thousand, four hundred".