438613056000 has 2240 divisors, whose sum is σ = 2009429959680. Its totient is φ = 93162700800.

The previous prime is 438613055999. The next prime is 438613056023. The reversal of 438613056000 is 650316834.

438613056000 is a `hidden beast` number, since 4 + 3 + 8 + 61 + 30 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5552063961 + ... + 5552064039.

Almost surely, 2^438613056000 is an apocalyptic number.

438613056000 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 438613056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004714979840).

438613056000 is an abundant number, since it is smaller than the sum of its proper divisors (1570816903680).

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

438613056000 is an frugal number, since it uses more digits than its factorization.

438613056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 438613056000 in words is "four hundred thirty-eight billion, six hundred thirteen million, fifty-six thousand".