1397144324160 has 336 divisors, whose sum is σ = 5366935444416. Its totient is φ = 343912200192.

The previous prime is 1397144324159. The next prime is 1397144324203. The reversal of 1397144324160 is 614234417931.

It is a happy number.

1397144324160 is a `hidden beast` number, since 1 + 3 + 97 + 144 + 3 + 2 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 319827 + ... + 1701933.

It is an arithmetic number, because the mean of its divisors is an integer number (15973022156).

Almost surely, 2^{1397144324160} is an apocalyptic number.

1397144324160 is a gapful number since it is divisible by the number (10) 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 1397144324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683467722208).

1397144324160 is an abundant number, since it is smaller than the sum of its proper divisors (3969791120256).

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

1397144324160 is a wasteful number, since it uses less digits than its factorization.

1397144324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382152 (or 1382130 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1397144324160 in words is "one trillion, three hundred ninety-seven billion, one hundred forty-four million, three hundred twenty-four thousand, one hundred sixty".