311430400400 has 240 divisors, whose sum is σ = 871330981248. Its totient is φ = 104758272000.

The previous prime is 311430400387. The next prime is 311430400403. The reversal of 311430400400 is 4004034113.

It is a happy number.

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 (311430400403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73954295 + ... + 73958505.

Almost surely, 2^311430400400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311430400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435665490624).

311430400400 is an abundant number, since it is smaller than the sum of its proper divisors (559900580848).

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

311430400400 is a wasteful number, since it uses less digits than its factorization.

311430400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 311430400400 its reverse (4004034113), we get a palindrome (315434434513).

The spelling of 311430400400 in words is "three hundred eleven billion, four hundred thirty million, four hundred thousand, four hundred".