438514363840 has 896 divisors, whose sum is σ = 1368469094400. Its totient is φ = 130427781120.

The previous prime is 438514363801. The next prime is 438514363879. The reversal of 438514363840 is 48363415834.

It is an interprime number because it is at equal distance from previous prime (438514363801) and next prime (438514363879).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2793085042 + ... + 2793085198.

Almost surely, 2^438514363840 is an apocalyptic number.

438514363840 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 438514363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684234547200).

438514363840 is an abundant number, since it is smaller than the sum of its proper divisors (929954730560).

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

438514363840 is a wasteful number, since it uses less digits than its factorization.

438514363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 438514363840 in words is "four hundred thirty-eight billion, five hundred fourteen million, three hundred sixty-three thousand, eight hundred forty".