5540034448512 has 512 divisors, whose sum is σ = 17366764800000. Its totient is φ = 1733766819840.

The previous prime is 5540034448511. The next prime is 5540034448513. The reversal of 5540034448512 is 2158444300455.

5540034448512 is a `hidden beast` number, since 5 + 54 + 0 + 0 + 3 + 44 + 48 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (5540034448511) and next prime (5540034448513).

It is not an unprimeable number, because it can be changed into a prime (5540034448511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4011610062 + ... + 4011611442.

It is an arithmetic number, because the mean of its divisors is an integer number (33919462500).

Almost surely, 2^{5540034448512} 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 5540034448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683382400000).

5540034448512 is an abundant number, since it is smaller than the sum of its proper divisors (11826730351488).

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

5540034448512 is a wasteful number, since it uses less digits than its factorization.

5540034448512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 5540034448512 its reverse (2158444300455), we get a palindrome (7698478748967).

The spelling of 5540034448512 in words is "five trillion, five hundred forty billion, thirty-four million, four hundred forty-eight thousand, five hundred twelve".