1385576640 has 168 divisors, whose sum is σ = 5446715040. Its totient is φ = 316698624.

The previous prime is 1385576639. The next prime is 1385576657. The reversal of 1385576640 is 466755831.

1385576640 is a `hidden beast` number, since 1 + 38 + 5 + 576 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14205 + ... + 54524.

Almost surely, 2^1385576640 is an apocalyptic number.

1385576640 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 1385576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723357520).

1385576640 is an abundant number, since it is smaller than the sum of its proper divisors (4061138400).

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

1385576640 is a wasteful number, since it uses less digits than its factorization.

1385576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68759 (or 68746 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1385576640 is about 37223.3346168771. The cubic root of 1385576640 is about 1114.8339460596.

The spelling of 1385576640 in words is "one billion, three hundred eighty-five million, five hundred seventy-six thousand, six hundred forty".