14385393540 has 432 divisors, whose sum is σ = 55219640112. Its totient is φ = 3009871872.

The previous prime is 14385393521. The next prime is 14385393551. The reversal of 14385393540 is 4539358341.

14385393540 is a `hidden beast` number, since 1 + 43 + 8 + 539 + 35 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1753431876 + 12631961664 = 41874^2 + 112392^2 .

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 143 ways as a sum of consecutive naturals, for example, 5546484 + ... + 5549076.

It is an arithmetic number, because the mean of its divisors is an integer number (127823241).

Almost surely, 2^14385393540 is an apocalyptic number.

14385393540 is a gapful number since it is divisible by the number (10) 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 14385393540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27609820056).

14385393540 is an abundant number, since it is smaller than the sum of its proper divisors (40834246572).

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

14385393540 is a wasteful number, since it uses less digits than its factorization.

14385393540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 14385393540 in words is "fourteen billion, three hundred eighty-five million, three hundred ninety-three thousand, five hundred forty".