386520426240 has 288 divisors, whose sum is σ = 1375254054720. Its totient is φ = 91862335488.

The previous prime is 386520426209. The next prime is 386520426263. The reversal of 386520426240 is 42624025683.

It is a junction number, because it is equal to n+sod(n) for n = 386520426192 and 386520426201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1314184 + ... + 1581176.

It is an arithmetic number, because the mean of its divisors is an integer number (4775187690).

Almost surely, 2^386520426240 is an apocalyptic number.

386520426240 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 386520426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687627027360).

386520426240 is an abundant number, since it is smaller than the sum of its proper divisors (988733628480).

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

386520426240 is a wasteful number, since it uses less digits than its factorization.

386520426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267059 (or 267045 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 386520426240 in words is "three hundred eighty-six billion, five hundred twenty million, four hundred twenty-six thousand, two hundred forty".