10200433000400 has 60 divisors (see below), whose sum is σ = 24526678298892. Its totient is φ = 4076820357120.

The previous prime is 10200433000337. The next prime is 10200433000463. The reversal of 10200433000400 is 400033400201.

It is an interprime number because it is at equal distance from previous prime (10200433000337) and next prime (10200433000463).

It can be written as a sum of positive squares in 6 ways, for example, as 2718369967504 + 7482063032896 = 1648748^2 + 2735336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9990227 + ... + 10963826.

Almost surely, 2^{10200433000400} is an apocalyptic number.

10200433000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200433000400 is an abundant number, since it is smaller than the sum of its proper divisors (14326245298492).

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

10200433000400 is a wasteful number, since it uses less digits than its factorization.

10200433000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20955288 (or 20955277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10200433000400 its reverse (400033400201), we get a palindrome (10600466400601).

The spelling of 10200433000400 in words is "ten trillion, two hundred billion, four hundred thirty-three million, four hundred", and thus it is an aban number.