13445022240 has 288 divisors, whose sum is σ = 49528992240. Its totient is φ = 3301613568.

The previous prime is 13445022233. The next prime is 13445022257. The reversal of 13445022240 is 4222054431.

13445022240 is a `hidden beast` number, since 134 + 4 + 502 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43718544 + 13401303696 = 6612^2 + 115764^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13271974 + ... + 13272986.

Almost surely, 2^13445022240 is an apocalyptic number.

13445022240 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 13445022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24764496120).

13445022240 is an abundant number, since it is smaller than the sum of its proper divisors (36083970000).

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

13445022240 is a wasteful number, since it uses less digits than its factorization.

13445022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 13445022240 its reverse (4222054431), we get a palindrome (17667076671).

The spelling of 13445022240 in words is "thirteen billion, four hundred forty-five million, twenty-two thousand, two hundred forty".