4311320400 has 180 divisors, whose sum is σ = 15749175520. Its totient is φ = 1089158400.

The previous prime is 4311320383. The next prime is 4311320407. The reversal of 4311320400 is 40231134.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4311320407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36885 + ... + 99915.

Almost surely, 2^4311320400 is an apocalyptic number.

4311320400 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 4311320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874587760).

4311320400 is an abundant number, since it is smaller than the sum of its proper divisors (11437855120).

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

4311320400 is a wasteful number, since it uses less digits than its factorization.

4311320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63074 (or 63060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4311320400 is about 65660.6457476623. The cubic root of 4311320400 is about 1627.5590951664.

Adding to 4311320400 its reverse (40231134), we get a palindrome (4351551534).

The spelling of 4311320400 in words is "four billion, three hundred eleven million, three hundred twenty thousand, four hundred".