3115431541200 has 480 divisors, whose sum is σ = 11049818480640. Its totient is φ = 743988326400.

The previous prime is 3115431541199. The next prime is 3115431541207. The reversal of 3115431541200 is 21451345113.

3115431541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115431541207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1082121361 + ... + 1082124239.

It is an arithmetic number, because the mean of its divisors is an integer number (23020455168).

Almost surely, 2^{3115431541200} is an apocalyptic number.

3115431541200 is a gapful number since it is divisible by the number (30) 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 3115431541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524909240320).

3115431541200 is an abundant number, since it is smaller than the sum of its proper divisors (7934386939440).

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

3115431541200 is a wasteful number, since it uses less digits than its factorization.

3115431541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 3115431541200 its reverse (21451345113), we get a palindrome (3136882886313).

The spelling of 3115431541200 in words is "three trillion, one hundred fifteen billion, four hundred thirty-one million, five hundred forty-one thousand, two hundred".