1290728378448 has 30 divisors (see below), whose sum is σ = 3612246781754. Its totient is φ = 430242792768.

The previous prime is 1290728378437. The next prime is 1290728378449. The reversal of 1290728378448 is 8448738270921.

1290728378448 is a `hidden beast` number, since 1 + 2 + 90 + 72 + 8 + 37 + 8 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1257834027024 + 32894351424 = 1121532^2 + 181368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290728378449) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4481695615 + ... + 4481695902.

Almost surely, 2^{1290728378448} is an apocalyptic number.

1290728378448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1290728378448 is an abundant number, since it is smaller than the sum of its proper divisors (2321518403306).

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

1290728378448 is a wasteful number, since it uses less digits than its factorization.

1290728378448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963391531 (or 8963391522 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 1290728378448 in words is "one trillion, two hundred ninety billion, seven hundred twenty-eight million, three hundred seventy-eight thousand, four hundred forty-eight".