203413300040040 has 256 divisors, whose sum is σ = 638825049907200. Its totient is φ = 51718090389504.

The previous prime is 203413300039979. The next prime is 203413300040099. The reversal of 203413300040040 is 40040003314302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1210068316 + ... + 1210236404.

It is an arithmetic number, because the mean of its divisors is an integer number (2495410351200).

Almost surely, 2^{203413300040040} is an apocalyptic number.

203413300040040 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 203413300040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319412524953600).

203413300040040 is an abundant number, since it is smaller than the sum of its proper divisors (435411749867160).

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

203413300040040 is a wasteful number, since it uses less digits than its factorization.

203413300040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169536 (or 169532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 203413300040040 its reverse (40040003314302), we get a palindrome (243453303354342).

The spelling of 203413300040040 in words is "two hundred three trillion, four hundred thirteen billion, three hundred million, forty thousand, forty".