400114311200 has 144 divisors (see below), whose sum is σ = 1020542556096. Its totient is φ = 152892748800.

The previous prime is 400114311127. The next prime is 400114311203. The reversal of 400114311200 is 2113411004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (400114311203) 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, 14908994 + ... + 14935806.

It is an arithmetic number, because the mean of its divisors is an integer number (7087101084).

Almost surely, 2^400114311200 is an apocalyptic number.

400114311200 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 400114311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510271278048).

400114311200 is an abundant number, since it is smaller than the sum of its proper divisors (620428244896).

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

400114311200 is a wasteful number, since it uses less digits than its factorization.

400114311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27667 (or 27654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 400114311200 its reverse (2113411004), we get a palindrome (402227722204).

The spelling of 400114311200 in words is "four hundred billion, one hundred fourteen million, three hundred eleven thousand, two hundred".