10428449830200 has 336 divisors, whose sum is σ = 36361546871280. Its totient is φ = 2780234772480.

The previous prime is 10428449830199. The next prime is 10428449830273. The reversal of 10428449830200 is 203894482401.

10428449830200 is a `hidden beast` number, since 10 + 42 + 84 + 498 + 30 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 923928957 + ... + 923940243.

Almost surely, 2^{10428449830200} is an apocalyptic number.

10428449830200 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 10428449830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180773435640).

10428449830200 is an abundant number, since it is smaller than the sum of its proper divisors (25933097041080).

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

10428449830200 is a wasteful number, since it uses less digits than its factorization.

10428449830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17658 (or 17634 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10428449830200 in words is "ten trillion, four hundred twenty-eight billion, four hundred forty-nine million, eight hundred thirty thousand, two hundred".