31400144131200 has 1536 divisors, whose sum is σ = 122165514240000. Its totient is φ = 7019451187200.

The previous prime is 31400144131183. The next prime is 31400144131259. The reversal of 31400144131200 is 213144100413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8012282841 + ... + 8012286759.

It is an arithmetic number, because the mean of its divisors is an integer number (79534840000).

Almost surely, 2^{31400144131200} is an apocalyptic number.

31400144131200 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 31400144131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61082757120000).

31400144131200 is an abundant number, since it is smaller than the sum of its proper divisors (90765370108800).

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

31400144131200 is a wasteful number, since it uses less digits than its factorization.

31400144131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31400144131200 its reverse (213144100413), we get a palindrome (31613288231613).

The spelling of 31400144131200 in words is "thirty-one trillion, four hundred billion, one hundred forty-four million, one hundred thirty-one thousand, two hundred".