385281152640 has 320 divisors, whose sum is σ = 1377935919360. Its totient is φ = 102590281728.

The previous prime is 385281152611. The next prime is 385281152647. The reversal of 385281152640 is 46251182583.

385281152640 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 81 + 1 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (385281152647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37682569 + ... + 37692791.

It is an arithmetic number, because the mean of its divisors is an integer number (4306049748).

Almost surely, 2^385281152640 is an apocalyptic number.

385281152640 is a gapful number since it is divisible by the number (30) 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 385281152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688967959680).

385281152640 is an abundant number, since it is smaller than the sum of its proper divisors (992654766720).

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

385281152640 is a wasteful number, since it uses less digits than its factorization.

385281152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 385281152640 in words is "three hundred eighty-five billion, two hundred eighty-one million, one hundred fifty-two thousand, six hundred forty".