1297141706400 has 288 divisors, whose sum is σ = 4277977441920. Its totient is φ = 341357998080.

The previous prime is 1297141706359. The next prime is 1297141706401. The reversal of 1297141706400 is 46071417921.

It is not an unprimeable number, because it can be changed into a prime (1297141706401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72420646 + ... + 72438554.

It is an arithmetic number, because the mean of its divisors is an integer number (14854088340).

Almost surely, 2^{1297141706400} is an apocalyptic number.

1297141706400 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 1297141706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138988720960).

1297141706400 is an abundant number, since it is smaller than the sum of its proper divisors (2980835735520).

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

1297141706400 is a wasteful number, since it uses less digits than its factorization.

1297141706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18328 (or 18315 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 1297141706400 in words is "one trillion, two hundred ninety-seven billion, one hundred forty-one million, seven hundred six thousand, four hundred".