1388198400 has 120 divisors (see below), whose sum is σ = 4585953504. Its totient is φ = 370176000.

The previous prime is 1388198381. The next prime is 1388198401. The reversal of 1388198400 is 48918831.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1388198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20325 + ... + 56475.

Almost surely, 2^1388198400 is an apocalyptic number.

1388198400 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 1388198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292976752).

1388198400 is an abundant number, since it is smaller than the sum of its proper divisors (3197755104).

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

1388198400 is an equidigital number, since it uses as much as digits as its factorization.

1388198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36182 (or 36161 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1388198400 is about 37258.5345927614. The cubic root of 1388198400 is about 1115.5366584161.

The spelling of 1388198400 in words is "one billion, three hundred eighty-eight million, one hundred ninety-eight thousand, four hundred".