1026938053248 has 128 divisors (see below), whose sum is σ = 2858626442880. Its totient is φ = 326023593984.

The previous prime is 1026938053247. The next prime is 1026938053249. The reversal of 1026938053248 is 8423508396201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1026938053247) and next prime (1026938053249).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1026938053248.

It is not an unprimeable number, because it can be changed into a prime (1026938053247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808340 + ... + 2307372.

It is an arithmetic number, because the mean of its divisors is an integer number (22333019085).

Almost surely, 2^{1026938053248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026938053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429313221440).

1026938053248 is an abundant number, since it is smaller than the sum of its proper divisors (1831688389632).

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

1026938053248 is a wasteful number, since it uses less digits than its factorization.

1026938053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499306 (or 499294 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 1026938053248 in words is "one trillion, twenty-six billion, nine hundred thirty-eight million, fifty-three thousand, two hundred forty-eight".