200419890880 has 224 divisors, whose sum is σ = 539387735040. Its totient is φ = 70262599680.

The previous prime is 200419890821. The next prime is 200419890893. The reversal of 200419890880 is 88098914002.

It is a super-2 number, since 2×200419890880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108510117 + ... + 108511963.

It is an arithmetic number, because the mean of its divisors is an integer number (2407980960).

Almost surely, 2^200419890880 is an apocalyptic number.

200419890880 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 200419890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269693867520).

200419890880 is an abundant number, since it is smaller than the sum of its proper divisors (338967844160).

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

200419890880 is a wasteful number, since it uses less digits than its factorization.

200419890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 200419890880 in words is "two hundred billion, four hundred nineteen million, eight hundred ninety thousand, eight hundred eighty".