438436477380 has 384 divisors, whose sum is σ = 1401192898560. Its totient is φ = 101461248000.

The previous prime is 438436477337. The next prime is 438436477411. The reversal of 438436477380 is 83774634834.

It is a self number, because there is not a number n which added to its sum of digits gives 438436477380.

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, 938835907 + ... + 938836373.

It is an arithmetic number, because the mean of its divisors is an integer number (3648939840).

Almost surely, 2^438436477380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438436477380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700596449280).

438436477380 is an abundant number, since it is smaller than the sum of its proper divisors (962756421180).

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

438436477380 is a wasteful number, since it uses less digits than its factorization.

438436477380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 438436477380 in words is "four hundred thirty-eight billion, four hundred thirty-six million, four hundred seventy-seven thousand, three hundred eighty".