5442416179200 has 6912 divisors, whose sum is σ = 29809692057600. Its totient is φ = 945959731200.

The previous prime is 5442416179183. The next prime is 5442416179261. The reversal of 5442416179200 is 29716142445.

5442416179200 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 4 + 1 + 617 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 236626790389 + ... + 236626790411.

It is an arithmetic number, because the mean of its divisors is an integer number (4312744800).

Almost surely, 2^{5442416179200} is an apocalyptic number.

5442416179200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5442416179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904846028800).

5442416179200 is an abundant number, since it is smaller than the sum of its proper divisors (24367275878400).

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

5442416179200 is a wasteful number, since it uses less digits than its factorization.

5442416179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5442416179200 in words is "five trillion, four hundred forty-two billion, four hundred sixteen million, one hundred seventy-nine thousand, two hundred".