438243165360000 has 7680 divisors, whose sum is σ = 2204697470976000. Its totient is φ = 80611614720000.

The previous prime is 438243165359983. The next prime is 438243165360059. The reversal of 438243165360000 is 63561342834.

438243165360000 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 4 + 31 + 6 + 5 + 3 + 600 + 0 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 2448285839911 + ... + 2448285840089.

It is an arithmetic number, because the mean of its divisors is an integer number (287069983200).

Almost surely, 2^{438243165360000} is an apocalyptic number.

438243165360000 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 438243165360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102348735488000).

438243165360000 is an abundant number, since it is smaller than the sum of its proper divisors (1766454305616000).

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

438243165360000 is a wasteful number, since it uses less digits than its factorization.

438243165360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 438243165360000 in words is "four hundred thirty-eight trillion, two hundred forty-three billion, one hundred sixty-five million, three hundred sixty thousand".