200416219960 has 128 divisors (see below), whose sum is σ = 498020140800. Its totient is φ = 71978368000.

The previous prime is 200416219933. The next prime is 200416219963. The reversal of 200416219960 is 69912614002.

It is a super-2 number, since 2×200416219960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200416219963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42721215 + ... + 42725905.

It is an arithmetic number, because the mean of its divisors is an integer number (3890782350).

Almost surely, 2^200416219960 is an apocalyptic number.

200416219960 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 200416219960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249010070400).

200416219960 is an abundant number, since it is smaller than the sum of its proper divisors (297603920840).

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

200416219960 is a wasteful number, since it uses less digits than its factorization.

200416219960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 200416219960 in words is "two hundred billion, four hundred sixteen million, two hundred nineteen thousand, nine hundred sixty".