1383117840 has 120 divisors (see below), whose sum is σ = 5002310040. Its totient is φ = 340457472.

The previous prime is 1383117817. The next prime is 1383117847. The reversal of 1383117840 is 487113831.

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 1376706816 = 2532^2 + 37104^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1383117795 and 1383117804.

It is not an unprimeable number, because it can be changed into a prime (1383117847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64525 + ... + 83244.

It is an arithmetic number, because the mean of its divisors is an integer number (41685917).

Almost surely, 2^1383117840 is an apocalyptic number.

1383117840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1383117840 is an abundant number, since it is smaller than the sum of its proper divisors (3619192200).

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

1383117840 is a wasteful number, since it uses less digits than its factorization.

1383117840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147801 (or 147792 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1383117840 is about 37190.2922817232. The cubic root of 1383117840 is about 1114.1741060377.

The spelling of 1383117840 in words is "one billion, three hundred eighty-three million, one hundred seventeen thousand, eight hundred forty".