31361344014400 has 189 divisors, whose sum is σ = 77680622114823. Its totient is φ = 12461835033600.

The previous prime is 31361344014373. The next prime is 31361344014439. The reversal of 31361344014400 is 441044316313.

It is a happy number.

The square root of 31361344014400 is 5600120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7093188196416 + 24268155817984 = 2663304^2 + 4926272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42784916434 + ... + 42784917166.

Almost surely, 2^{31361344014400} is an apocalyptic number.

31361344014400 is the 5600120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31361344014400

31361344014400 is an abundant number, since it is smaller than the sum of its proper divisors (46319278100423).

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

31361344014400 is an frugal number, since it uses more digits than its factorization.

31361344014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 31361344014400 in words is "thirty-one trillion, three hundred sixty-one billion, three hundred forty-four million, fourteen thousand, four hundred".