200312041440 has 384 divisors, whose sum is σ = 737528343552. Its totient is φ = 44750684160.

The previous prime is 200312041351. The next prime is 200312041451. The reversal of 200312041440 is 44140213002.

It is a super-3 number, since 3×200312041440³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50038479 + ... + 50042481.

It is an arithmetic number, because the mean of its divisors is an integer number (1920646728).

Almost surely, 2^200312041440 is an apocalyptic number.

200312041440 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 200312041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368764171776).

200312041440 is an abundant number, since it is smaller than the sum of its proper divisors (537216302112).

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

200312041440 is a wasteful number, since it uses less digits than its factorization.

200312041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 200312041440 its reverse (44140213002), we get a palindrome (244452254442).

The spelling of 200312041440 in words is "two hundred billion, three hundred twelve million, forty-one thousand, four hundred forty".