386042941440 has 1404 divisors, whose sum is σ = 1593129219084. Its totient is φ = 89436192768.

The previous prime is 386042941411. The next prime is 386042941463. The reversal of 386042941440 is 44149240683.

386042941440 is a `hidden beast` number, since 3 + 8 + 604 + 29 + 4 + 14 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36790308864 + 349252632576 = 191808^2 + 590976^2 .

It is a tau number, because it is divible by the number of its divisors (1404).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22708408312 + ... + 22708408328.

It is an arithmetic number, because the mean of its divisors is an integer number (1134707421).

Almost surely, 2^386042941440 is an apocalyptic number.

386042941440 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 386042941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796564609542).

386042941440 is an abundant number, since it is smaller than the sum of its proper divisors (1207086277644).

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

386042941440 is an frugal number, since it uses more digits than its factorization.

386042941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 386042941440 in words is "three hundred eighty-six billion, forty-two million, nine hundred forty-one thousand, four hundred forty".