5407105334928 has 640 divisors, whose sum is σ = 16963554263040. Its totient is φ = 1466180352000.

The previous prime is 5407105334927. The next prime is 5407105334977. The reversal of 5407105334928 is 8294335017045.

It is not an unprimeable number, because it can be changed into a prime (5407105334927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1623266223 + ... + 1623269553.

It is an arithmetic number, because the mean of its divisors is an integer number (26505553536).

Almost surely, 2^{5407105334928} 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 5407105334928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481777131520).

5407105334928 is an abundant number, since it is smaller than the sum of its proper divisors (11556448928112).

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

5407105334928 is a wasteful number, since it uses less digits than its factorization.

5407105334928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 5407105334928 in words is "five trillion, four hundred seven billion, one hundred five million, three hundred thirty-four thousand, nine hundred twenty-eight".