5509452349440 has 1800 divisors, whose sum is σ = 22724529208920. Its totient is φ = 1276398010368.

The previous prime is 5509452349439. The next prime is 5509452349441. The reversal of 5509452349440 is 449432549055.

5509452349440 is a `hidden beast` number, since 5 + 5 + 0 + 94 + 5 + 23 + 494 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5509452349439) and next prime (5509452349441).

It can be written as a sum of positive squares in 12 ways, for example, as 2856045920256 + 2653406429184 = 1689984^2 + 1628928^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5509452349441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 324085432312 + ... + 324085432328.

Almost surely, 2^{5509452349440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5509452349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362264604460).

5509452349440 is an abundant number, since it is smaller than the sum of its proper divisors (17215076859480).

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

5509452349440 is an frugal number, since it uses more digits than its factorization.

5509452349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 5509452349440 in words is "five trillion, five hundred nine billion, four hundred fifty-two million, three hundred forty-nine thousand, four hundred forty".