1385441984 has 56 divisors (see below), whose sum is σ = 2891747328. Its totient is φ = 657296640.

The previous prime is 1385441977. The next prime is 1385442001. The reversal of 1385441984 is 4891445831.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 183239 + ... + 190649.

Almost surely, 2^1385441984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445873664).

1385441984 is an abundant number, since it is smaller than the sum of its proper divisors (1506305344).

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

1385441984 is a wasteful number, since it uses less digits than its factorization.

1385441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7563 counting only the distinct ones).

The product of its digits is 552960, while the sum is 47.

The square root of 1385441984 is about 37221.5258150442. The cubic root of 1385441984 is about 1114.7978301834.

The spelling of 1385441984 in words is "one billion, three hundred eighty-five million, four hundred forty-one thousand, nine hundred eighty-four".