1385401680 has 120 divisors (see below), whose sum is σ = 5010569928. Its totient is φ = 341019648.

The previous prime is 1385401651. The next prime is 1385401709. The reversal of 1385401680 is 861045831.

1385401680 is a `hidden beast` number, since 1 + 38 + 540 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1385401651) and next prime (1385401709).

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 1375816464 = 3096^2 + 37092^2 .

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 congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 64647 + ... + 83366.

Almost surely, 2^1385401680 is an apocalyptic number.

1385401680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1385401680 is an abundant number, since it is smaller than the sum of its proper divisors (3625168248).

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

1385401680 is a wasteful number, since it uses less digits than its factorization.

1385401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148045 (or 148036 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1385401680 is about 37220.9844039622. The cubic root of 1385401680 is about 1114.7870198553.

The spelling of 1385401680 in words is "one billion, three hundred eighty-five million, four hundred one thousand, six hundred eighty".