438131065680 has 720 divisors, whose sum is σ = 1893636620928. Its totient is φ = 89752320000.

The previous prime is 438131065657. The next prime is 438131065681. The reversal of 438131065680 is 86560131834.

438131065680 is a `hidden beast` number, since 4 + 3 + 81 + 3 + 1 + 0 + 6 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438131065681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27545730 + ... + 27561630.

Almost surely, 2^438131065680 is an apocalyptic number.

438131065680 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 438131065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946818310464).

438131065680 is an abundant number, since it is smaller than the sum of its proper divisors (1455505555248).

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

438131065680 is a wasteful number, since it uses less digits than its factorization.

438131065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16016 (or 16000 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 438131065680 in words is "four hundred thirty-eight billion, one hundred thirty-one million, sixty-five thousand, six hundred eighty".