5561336737440 has 360 divisors, whose sum is σ = 21573358177140. Its totient is φ = 1348202465280.

The previous prime is 5561336737427. The next prime is 5561336737447. The reversal of 5561336737440 is 447376331655.

It is a happy number.

5561336737440 is a `hidden beast` number, since 5 + 5 + 6 + 133 + 67 + 3 + 7 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5313559773456 + 247776963984 = 2305116^2 + 497772^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (5561336737447) 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 59 ways as a sum of consecutive naturals, for example, 205045 + ... + 3341364.

Almost surely, 2^{5561336737440} 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 5561336737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10786679088570).

5561336737440 is an abundant number, since it is smaller than the sum of its proper divisors (16012021439700).

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

5561336737440 is a wasteful number, since it uses less digits than its factorization.

5561336737440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546458 (or 3546430 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 5561336737440 in words is "five trillion, five hundred sixty-one billion, three hundred thirty-six million, seven hundred thirty-seven thousand, four hundred forty".