13945595040 has 672 divisors, whose sum is σ = 56430225936. Its totient is φ = 3224862720.

The previous prime is 13945594997. The next prime is 13945595047. The reversal of 13945595040 is 4059554931.

13945595040 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 559 + 50 + 40 = 666.

13945595040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4644149904 + 9301445136 = 68148^2 + 96444^2 .

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 (13945595047) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 25777170 + ... + 25777710.

Almost surely, 2^13945595040 is an apocalyptic number.

13945595040 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 13945595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215112968).

13945595040 is an abundant number, since it is smaller than the sum of its proper divisors (42484630896).

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

13945595040 is a wasteful number, since it uses less digits than its factorization.

13945595040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 13945595040 in words is "thirteen billion, nine hundred forty-five million, five hundred ninety-five thousand, forty".