55540335961440 has 1152 divisors, whose sum is σ = 216702814648320. Its totient is φ = 12834455961600.

The previous prime is 55540335961391. The next prime is 55540335961469. The reversal of 55540335961440 is 4416953304555.

55540335961440 is a `hidden beast` number, since 5 + 5 + 5 + 4 + 0 + 3 + 3 + 596 + 1 + 4 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6065337342 + ... + 6065346498.

It is an arithmetic number, because the mean of its divisors is an integer number (188110082160).

Almost surely, 2^{55540335961440} 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 55540335961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108351407324160).

55540335961440 is an abundant number, since it is smaller than the sum of its proper divisors (161162478686880).

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

55540335961440 is a wasteful number, since it uses less digits than its factorization.

55540335961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 55540335961440 in words is "fifty-five trillion, five hundred forty billion, three hundred thirty-five million, nine hundred sixty-one thousand, four hundred forty".