438416453440 has 560 divisors, whose sum is σ = 1278568212480. Its totient is φ = 143007621120.

The previous prime is 438416453411. The next prime is 438416453443. The reversal of 438416453440 is 44354614834.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438416453443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1881615564 + ... + 1881615796.

Almost surely, 2^438416453440 is an apocalyptic number.

438416453440 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 438416453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639284106240).

438416453440 is an abundant number, since it is smaller than the sum of its proper divisors (840151759040).

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

438416453440 is an equidigital number, since it uses as much as digits as its factorization.

438416453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 438416453440 in words is "four hundred thirty-eight billion, four hundred sixteen million, four hundred fifty-three thousand, four hundred forty".