400121140203200 has 168 divisors, whose sum is σ = 1060598387775360. Its totient is φ = 147693028147200.

The previous prime is 400121140203139. The next prime is 400121140203203. The reversal of 400121140203200 is 2302041121004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (400121140203203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67003760 + ... + 72730640.

It is an arithmetic number, because the mean of its divisors is an integer number (6313085641520).

Almost surely, 2^{400121140203200} is an apocalyptic number.

400121140203200 is a gapful number since it is divisible by the number (40) 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 400121140203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530299193887680).

400121140203200 is an abundant number, since it is smaller than the sum of its proper divisors (660477247572160).

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

400121140203200 is a wasteful number, since it uses less digits than its factorization.

400121140203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730275 (or 5730260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 400121140203200 its reverse (2302041121004), we get a palindrome (402423181324204).

The spelling of 400121140203200 in words is "four hundred trillion, one hundred twenty-one billion, one hundred forty million, two hundred three thousand, two hundred".