10000324200400 has 30 divisors (see below), whose sum is σ = 24025778892422. Its totient is φ = 4000129680000.

The previous prime is 10000324200289. The next prime is 10000324200421. The reversal of 10000324200400 is 400242300001.

It can be written as a sum of positive squares in 3 ways, for example, as 358628508736 + 9641695691664 = 598856^2 + 3105108^2 .

It is a super-2 number, since 2×10000324200400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12500404851 + ... + 12500405650.

Almost surely, 2^{10000324200400} is an apocalyptic number.

10000324200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000324200400 is an abundant number, since it is smaller than the sum of its proper divisors (14025454692022).

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

10000324200400 is a wasteful number, since it uses less digits than its factorization.

10000324200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25000810519 (or 25000810508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10000324200400 its reverse (400242300001), we get a palindrome (10400566500401).

The spelling of 10000324200400 in words is "ten trillion, three hundred twenty-four million, two hundred thousand, four hundred".