200424803040 has 576 divisors, whose sum is σ = 867197560320. Its totient is φ = 40939499520.

The previous prime is 200424803027. The next prime is 200424803041. The reversal of 200424803040 is 40308424002.

It is a happy number.

200424803040 is a `hidden beast` number, since 200 + 424 + 8 + 0 + 30 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 200424802995 and 200424803013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200424803041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6526602 + ... + 6557238.

It is an arithmetic number, because the mean of its divisors is an integer number (1505551320).

Almost surely, 2^200424803040 is an apocalyptic number.

200424803040 is a gapful number since it is divisible by the number (20) 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 200424803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433598780160).

200424803040 is an abundant number, since it is smaller than the sum of its proper divisors (666772757280).

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

200424803040 is a wasteful number, since it uses less digits than its factorization.

200424803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30735 (or 30724 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 200424803040 in words is "two hundred billion, four hundred twenty-four million, eight hundred three thousand, forty".