385060573440 has 360 divisors, whose sum is σ = 1387925403480. Its totient is φ = 101929549824.

The previous prime is 385060573409. The next prime is 385060573441. The reversal of 385060573440 is 44375060583.

385060573440 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 605 + 7 + 34 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26384154624 + 358676418816 = 162432^2 + 598896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (385060573441) 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, 14190606 + ... + 14217714.

It is an arithmetic number, because the mean of its divisors is an integer number (3855348343).

Almost surely, 2^385060573440 is an apocalyptic number.

385060573440 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 385060573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693962701740).

385060573440 is an abundant number, since it is smaller than the sum of its proper divisors (1002864830040).

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

385060573440 is a wasteful number, since it uses less digits than its factorization.

385060573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27279 (or 27256 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 385060573440 in words is "three hundred eighty-five billion, sixty million, five hundred seventy-three thousand, four hundred forty".