1388401311 has 24 divisors (see below), whose sum is σ = 2044548352. Its totient is φ = 837421200.

The previous prime is 1388401199. The next prime is 1388401321. The reversal of 1388401311 is 1131048831.

It is not a de Polignac number, because 1388401311 - 2⁹ = 1388400799 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388401321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67530 + ... + 85656.

Almost surely, 2^1388401311 is an apocalyptic number.

1388401311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1388401311 is a deficient number, since it is larger than the sum of its proper divisors (656147041).

1388401311 is a wasteful number, since it uses less digits than its factorization.

1388401311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18363 (or 18352 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1388401311 is about 37261.2575069602. The cubic root of 1388401311 is about 1115.5910079075.

The spelling of 1388401311 in words is "one billion, three hundred eighty-eight million, four hundred one thousand, three hundred eleven".