2000402400400 has 120 divisors (see below), whose sum is σ = 4953256007040. Its totient is φ = 775950727680.

The previous prime is 2000402400331. The next prime is 2000402400413. The reversal of 2000402400400 is 40042040002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1561107 + ... + 2537293.

It is an arithmetic number, because the mean of its divisors is an integer number (41277133392).

Almost surely, 2^{2000402400400} is an apocalyptic number.

2000402400400 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 2000402400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476628003520).

2000402400400 is an abundant number, since it is smaller than the sum of its proper divisors (2952853606640).

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

2000402400400 is a wasteful number, since it uses less digits than its factorization.

2000402400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976361 (or 976350 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2000402400400 its reverse (40042040002), we get a palindrome (2040444440402).

The spelling of 2000402400400 in words is "two trillion, four hundred two million, four hundred thousand, four hundred".