438642957312 has 330 divisors, whose sum is σ = 1523744664552. Its totient is φ = 125325398016.

The previous prime is 438642957299. The next prime is 438642957323. The reversal of 438642957312 is 213759246834.

438642957312 is a `hidden beast` number, since 4 + 3 + 8 + 64 + 2 + 9 + 573 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4010293 + ... + 4118219.

Almost surely, 2^438642957312 is an apocalyptic number.

438642957312 is a gapful number since it is divisible by the number (42) 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 438642957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761872332276).

438642957312 is an abundant number, since it is smaller than the sum of its proper divisors (1085101707240).

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

438642957312 is a wasteful number, since it uses less digits than its factorization.

438642957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107973 (or 107939 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 438642957312 in words is "four hundred thirty-eight billion, six hundred forty-two million, nine hundred fifty-seven thousand, three hundred twelve".