4398579158400 has 1728 divisors, whose sum is σ = 19227564982080. Its totient is φ = 989808906240.

The previous prime is 4398579158297. The next prime is 4398579158417. The reversal of 4398579158400 is 48519758934.

4398579158400 is a `hidden beast` number, since 4 + 3 + 9 + 8 + 5 + 79 + 158 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4398579158400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2552859939 + ... + 2552861661.

Almost surely, 2^{4398579158400} is an apocalyptic number.

4398579158400 is a gapful number since it is divisible by the number (40) 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 4398579158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613782491040).

4398579158400 is an abundant number, since it is smaller than the sum of its proper divisors (14828985823680).

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

4398579158400 is a wasteful number, since it uses less digits than its factorization.

4398579158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 4398579158400 in words is "four trillion, three hundred ninety-eight billion, five hundred seventy-nine million, one hundred fifty-eight thousand, four hundred".