385403644080 has 1600 divisors, whose sum is σ = 1778586163200. Its totient is φ = 75067637760.

The previous prime is 385403644079. The next prime is 385403644097. The reversal of 385403644080 is 80446304583.

385403644080 is a `hidden beast` number, since 3 + 8 + 540 + 3 + 64 + 40 + 8 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 459360301 + ... + 459361139.

It is an arithmetic number, because the mean of its divisors is an integer number (1111616352).

Almost surely, 2^385403644080 is an apocalyptic number.

385403644080 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 385403644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889293081600).

385403644080 is an abundant number, since it is smaller than the sum of its proper divisors (1393182519120).

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

385403644080 is a wasteful number, since it uses less digits than its factorization.

385403644080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 385403644080 in words is "three hundred eighty-five billion, four hundred three million, six hundred forty-four thousand, eighty".