1438233280512 has 960 divisors, whose sum is σ = 4896113295360. Its totient is φ = 366280704000.

The previous prime is 1438233280507. The next prime is 1438233280513. The reversal of 1438233280512 is 2150823328341.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1438233280513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9524723637 + ... + 9524723787.

It is an arithmetic number, because the mean of its divisors is an integer number (5100118016).

Almost surely, 2^{1438233280512} is an apocalyptic number.

1438233280512 is a gapful number since it is divisible by the number (12) 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 1438233280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448056647680).

1438233280512 is an abundant number, since it is smaller than the sum of its proper divisors (3457880014848).

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

1438233280512 is a wasteful number, since it uses less digits than its factorization.

1438233280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 1438233280512 in words is "one trillion, four hundred thirty-eight billion, two hundred thirty-three million, two hundred eighty thousand, five hundred twelve".