10430200400 has 120 divisors (see below), whose sum is σ = 27150387264. Its totient is φ = 3835238400.

The previous prime is 10430200367. The next prime is 10430200421. The reversal of 10430200400 is 400203401.

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, 274565 + ... + 310235.

Almost surely, 2^10430200400 is an apocalyptic number.

10430200400 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 10430200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575193632).

10430200400 is an abundant number, since it is smaller than the sum of its proper divisors (16720186864).

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

10430200400 is a wasteful number, since it uses less digits than its factorization.

10430200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35749 (or 35738 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10430200400 its reverse (400203401), we get a palindrome (10830403801).

The spelling of 10430200400 in words is "ten billion, four hundred thirty million, two hundred thousand, four hundred".