1383138288000 has 2304 divisors, whose sum is σ = 6289208452800. Its totient is φ = 297851904000.

The previous prime is 1383138287987. The next prime is 1383138288013. The reversal of 1383138288000 is 8828313831.

It is an interprime number because it is at equal distance from previous prime (1383138287987) and next prime (1383138288013).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7641647910 + ... + 7641648090.

Almost surely, 2^{1383138288000} is an apocalyptic number.

1383138288000 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 1383138288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144604226400).

1383138288000 is an abundant number, since it is smaller than the sum of its proper divisors (4906070164800).

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

1383138288000 is a wasteful number, since it uses less digits than its factorization.

1383138288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1383138288000 in words is "one trillion, three hundred eighty-three billion, one hundred thirty-eight million, two hundred eighty-eight thousand".