438238140480 has 672 divisors, whose sum is σ = 1832442238080. Its totient is φ = 98273710080.

The previous prime is 438238140463. The next prime is 438238140497. The reversal of 438238140480 is 84041832834.

It is a happy number.

438238140480 is a `hidden beast` number, since 4 + 3 + 8 + 23 + 8 + 140 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (438238140463) and next prime (438238140497).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22428315 + ... + 22447845.

Almost surely, 2^438238140480 is an apocalyptic number.

438238140480 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 438238140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916221119040).

438238140480 is an abundant number, since it is smaller than the sum of its proper divisors (1394204097600).

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

438238140480 is a wasteful number, since it uses less digits than its factorization.

438238140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19624 (or 19601 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 438238140480 in words is "four hundred thirty-eight billion, two hundred thirty-eight million, one hundred forty thousand, four hundred eighty".