20200410400 has 144 divisors (see below), whose sum is σ = 49871808000. Its totient is φ = 7989442560.

The previous prime is 20200410397. The next prime is 20200410403. The reversal of 20200410400 is 401400202.

It is an interprime number because it is at equal distance from previous prime (20200410397) and next prime (20200410403).

It is not an unprimeable number, because it can be changed into a prime (20200410403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35501316 + ... + 35501884.

It is an arithmetic number, because the mean of its divisors is an integer number (346332000).

Almost surely, 2^20200410400 is an apocalyptic number.

20200410400 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 20200410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904000).

20200410400 is an abundant number, since it is smaller than the sum of its proper divisors (29671397600).

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

20200410400 is a wasteful number, since it uses less digits than its factorization.

20200410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20200410400 its reverse (401400202), we get a palindrome (20601810602).

The spelling of 20200410400 in words is "twenty billion, two hundred million, four hundred ten thousand, four hundred".