200031466440 has 256 divisors, whose sum is σ = 675631756800. Its totient is φ = 47008456704.

The previous prime is 200031466421. The next prime is 200031466447. The reversal of 200031466440 is 44664130002.

It is a super-2 number, since 2×200031466440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 200031466398 and 200031466407.

It is not an unprimeable number, because it can be changed into a prime (200031466447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19980156 + ... + 19990164.

It is an arithmetic number, because the mean of its divisors is an integer number (2639186550).

Almost surely, 2^200031466440 is an apocalyptic number.

200031466440 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 200031466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337815878400).

200031466440 is an abundant number, since it is smaller than the sum of its proper divisors (475600290360).

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

200031466440 is a wasteful number, since it uses less digits than its factorization.

200031466440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 200031466440 its reverse (44664130002), we get a palindrome (244695596442).

The spelling of 200031466440 in words is "two hundred billion, thirty-one million, four hundred sixty-six thousand, four hundred forty".