438051265000 has 80 divisors (see below), whose sum is σ = 1027561778100. Its totient is φ = 175014336000.

The previous prime is 438051264991. The next prime is 438051265013. The reversal of 438051265000 is 562150834.

It can be written as a sum of positive squares in 10 ways, for example, as 392277636 + 437658987364 = 19806^2 + 661558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4233886 + ... + 4336114.

Almost surely, 2^438051265000 is an apocalyptic number.

438051265000 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 438051265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513780889050).

438051265000 is an abundant number, since it is smaller than the sum of its proper divisors (589510513100).

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

438051265000 is a wasteful number, since it uses less digits than its factorization.

438051265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103112 (or 103093 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 438051265000 in words is "four hundred thirty-eight billion, fifty-one million, two hundred sixty-five thousand".