10210413266400 has 288 divisors, whose sum is σ = 33464466137088. Its totient is φ = 2703999232000.

The previous prime is 10210413266387. The next prime is 10210413266413. The reversal of 10210413266400 is 466231401201.

It is an interprime number because it is at equal distance from previous prime (10210413266387) and next prime (10210413266413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 461309734 + ... + 461331866.

It is an arithmetic number, because the mean of its divisors is an integer number (116196062976).

Almost surely, 2^{10210413266400} is an apocalyptic number.

10210413266400 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 10210413266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732233068544).

10210413266400 is an abundant number, since it is smaller than the sum of its proper divisors (23254052870688).

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

10210413266400 is a wasteful number, since it uses less digits than its factorization.

10210413266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23474 (or 23461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10210413266400 its reverse (466231401201), we get a palindrome (10676644667601).

The spelling of 10210413266400 in words is "ten trillion, two hundred ten billion, four hundred thirteen million, two hundred sixty-six thousand, four hundred".