2000411030400 has 192 divisors, whose sum is σ = 6603160964400. Its totient is φ = 532284620800.

The previous prime is 2000411030363. The next prime is 2000411030489. The reversal of 2000411030400 is 40301140002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2000411030400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4199596 + ... + 4651604.

Almost surely, 2^{2000411030400} is an apocalyptic number.

2000411030400 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 2000411030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301580482200).

2000411030400 is an abundant number, since it is smaller than the sum of its proper divisors (4602749934000).

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

2000411030400 is a wasteful number, since it uses less digits than its factorization.

2000411030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452497 (or 452480 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2000411030400 its reverse (40301140002), we get a palindrome (2040712170402).

The spelling of 2000411030400 in words is "two trillion, four hundred eleven million, thirty thousand, four hundred".