400301434203200 has 168 divisors, whose sum is σ = 986881394548224. Its totient is φ = 159813658368000.

The previous prime is 400301434203197. The next prime is 400301434203211. The reversal of 400301434203200 is 2302434103004.

It is a self number, because there is not a number n which added to its sum of digits gives 400301434203200.

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, 1908664742 + ... + 1908874458.

It is an arithmetic number, because the mean of its divisors is an integer number (5874294015168).

Almost surely, 2^{400301434203200} is an apocalyptic number.

400301434203200 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 400301434203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493440697274112).

400301434203200 is an abundant number, since it is smaller than the sum of its proper divisors (586579960345024).

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

400301434203200 is a wasteful number, since it uses less digits than its factorization.

400301434203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212021 (or 212006 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 400301434203200 its reverse (2302434103004), we get a palindrome (402603868306204).

The spelling of 400301434203200 in words is "four hundred trillion, three hundred one billion, four hundred thirty-four million, two hundred three thousand, two hundred".