1388441376 has 144 divisors (see below), whose sum is σ = 4543314048. Its totient is φ = 393984000.

The previous prime is 1388441363. The next prime is 1388441419. The reversal of 1388441376 is 6731448831.

1388441376 is a `hidden beast` number, since 138 + 8 + 441 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302136 + ... + 306696.

It is an arithmetic number, because the mean of its divisors is an integer number (31550792).

Almost surely, 2^1388441376 is an apocalyptic number.

1388441376 is a gapful number since it is divisible by the number (16) 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 1388441376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271657024).

1388441376 is an abundant number, since it is smaller than the sum of its proper divisors (3154872672).

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

1388441376 is a wasteful number, since it uses less digits than its factorization.

1388441376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4724 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1388441376 is about 37261.7951258390. The cubic root of 1388441376 is about 1115.6017386483.

The spelling of 1388441376 in words is "one billion, three hundred eighty-eight million, four hundred forty-one thousand, three hundred seventy-six".