20141003200400 has 240 divisors, whose sum is σ = 50190954240000. Its totient is φ = 7763244802560.

The previous prime is 20141003200349. The next prime is 20141003200453. The reversal of 20141003200400 is 400230014102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259112741 + ... + 259190459.

It is an arithmetic number, because the mean of its divisors is an integer number (209128976000).

Almost surely, 2^{20141003200400} is an apocalyptic number.

20141003200400 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 20141003200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25095477120000).

20141003200400 is an abundant number, since it is smaller than the sum of its proper divisors (30049951039600).

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

20141003200400 is a wasteful number, since it uses less digits than its factorization.

20141003200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78014 (or 78003 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20141003200400 its reverse (400230014102), we get a palindrome (20541233214502).

The spelling of 20141003200400 in words is "twenty trillion, one hundred forty-one billion, three million, two hundred thousand, four hundred".