1138265279340 has 288 divisors, whose sum is σ = 3765965011200. Its totient is φ = 256078158336.

The previous prime is 1138265279339. The next prime is 1138265279377. The reversal of 1138265279340 is 439725628311.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 446552386 + ... + 446554934.

It is an arithmetic number, because the mean of its divisors is an integer number (13076267400).

It is a 1-persistent number, because it is pandigital, but 2⋅1138265279340 = 2276530558680 is not.

Almost surely, 2^{1138265279340} is an apocalyptic number.

1138265279340 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 1138265279340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882982505600).

1138265279340 is an abundant number, since it is smaller than the sum of its proper divisors (2627699731860).

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

1138265279340 is a wasteful number, since it uses less digits than its factorization.

1138265279340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1138265279340 in words is "one trillion, one hundred thirty-eight billion, two hundred sixty-five million, two hundred seventy-nine thousand, three hundred forty".