1288679040000 has 1485 divisors, whose sum is σ = 5232563214879. Its totient is φ = 305141760000.

The previous prime is 1288679039939. The next prime is 1288679040001. The reversal of 1288679040000 is 409768821.

The square root of 1288679040000 is 1135200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 101032436736 + 1187646603264 = 317856^2 + 1089792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1288679040001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29969279979 + ... + 29969280021.

Almost surely, 2^{1288679040000} is an apocalyptic number.

1288679040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1288679040000 is the 1135200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288679040000

1288679040000 is an abundant number, since it is smaller than the sum of its proper divisors (3943884174879).

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

1288679040000 is an equidigital number, since it uses as much as digits as its factorization.

1288679040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1288679040000 in words is "one trillion, two hundred eighty-eight billion, six hundred seventy-nine million, forty thousand".