1388927350272 has 1440 divisors, whose sum is σ = 5211603936000. Its totient is φ = 325976555520.

The previous prime is 1388927350259. The next prime is 1388927350273. The reversal of 1388927350272 is 2720537298831.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388927350273) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3979734354 + ... + 3979734702.

It is an arithmetic number, because the mean of its divisors is an integer number (3619169400).

Almost surely, 2^{1388927350272} is an apocalyptic number.

1388927350272 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 1388927350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605801968000).

1388927350272 is an abundant number, since it is smaller than the sum of its proper divisors (3822676585728).

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

1388927350272 is a wasteful number, since it uses less digits than its factorization.

1388927350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 1388927350272 in words is "one trillion, three hundred eighty-eight billion, nine hundred twenty-seven million, three hundred fifty thousand, two hundred seventy-two".