1138257344000 has 320 divisors, whose sum is σ = 3331508019840. Its totient is φ = 379706572800.

The previous prime is 1138257343981. The next prime is 1138257344027. The reversal of 1138257344000 is 4437528311.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16541666 + ... + 16610334.

It is an arithmetic number, because the mean of its divisors is an integer number (10410962562).

Almost surely, 2^{1138257344000} is an apocalyptic number.

1138257344000 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 1138257344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665754009920).

1138257344000 is an abundant number, since it is smaller than the sum of its proper divisors (2193250675840).

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

1138257344000 is an frugal number, since it uses more digits than its factorization.

1138257344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68746 (or 68720 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 1138257344000 in words is "one trillion, one hundred thirty-eight billion, two hundred fifty-seven million, three hundred forty-four thousand".