1385142660 has 576 divisors, whose sum is σ = 5308934400. Its totient is φ = 298045440.

The previous prime is 1385142641. The next prime is 1385142667. The reversal of 1385142660 is 662415831.

It is a happy number.

1385142660 is a `hidden beast` number, since 1 + 385 + 14 + 266 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1385142667) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32212599 + ... + 32212641.

It is an arithmetic number, because the mean of its divisors is an integer number (9216900).

Almost surely, 2^1385142660 is an apocalyptic number.

1385142660 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 1385142660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654467200).

1385142660 is an abundant number, since it is smaller than the sum of its proper divisors (3923791740).

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

1385142660 is a wasteful number, since it uses less digits than its factorization.

1385142660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1385142660 is about 37217.5047524683. The cubic root of 1385142660 is about 1114.7175405759.

The spelling of 1385142660 in words is "one billion, three hundred eighty-five million, one hundred forty-two thousand, six hundred sixty".