5417408673792 has 384 divisors, whose sum is σ = 16954479360000. Its totient is φ = 1706413621248.

The previous prime is 5417408673773. The next prime is 5417408673877. The reversal of 5417408673792 is 2973768047145.

5417408673792 is a `hidden beast` number, since 5 + 417 + 4 + 0 + 86 + 73 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75332509 + ... + 75404387.

It is an arithmetic number, because the mean of its divisors is an integer number (44152290000).

It is a 1-persistent number, because it is pandigital, but 2⋅5417408673792 = 10834817347584 is not.

Almost surely, 2^{5417408673792} 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 5417408673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477239680000).

5417408673792 is an abundant number, since it is smaller than the sum of its proper divisors (11537070686208).

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

5417408673792 is a wasteful number, since it uses less digits than its factorization.

5417408673792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71986 (or 71960 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 5417408673792 in words is "five trillion, four hundred seventeen billion, four hundred eight million, six hundred seventy-three thousand, seven hundred ninety-two".