385917143040 has 1536 divisors, whose sum is σ = 1656387532800. Its totient is φ = 83979141120.

The previous prime is 385917143009. The next prime is 385917143057. The reversal of 385917143040 is 40341719583.

385917143040 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 171 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 1700075407 + ... + 1700075633.

It is an arithmetic number, because the mean of its divisors is an integer number (1078377300).

Almost surely, 2^385917143040 is an apocalyptic number.

385917143040 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 385917143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828193766400).

385917143040 is an abundant number, since it is smaller than the sum of its proper divisors (1270470389760).

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

385917143040 is a wasteful number, since it uses less digits than its factorization.

385917143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 385917143040 in words is "three hundred eighty-five billion, nine hundred seventeen million, one hundred forty-three thousand, forty".