438011001072 has 60 divisors (see below), whose sum is σ = 1225867355440. Its totient is φ = 145998319104.

The previous prime is 438011001049. The next prime is 438011001079. The reversal of 438011001072 is 270100110834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438011001079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6859629 + ... + 6923187.

Almost surely, 2^438011001072 is an apocalyptic number.

It is an amenable number.

438011001072 is an abundant number, since it is smaller than the sum of its proper divisors (787856354368).

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

438011001072 is a wasteful number, since it uses less digits than its factorization.

438011001072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111430 (or 111421 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 438011001072 in words is "four hundred thirty-eight billion, eleven million, one thousand, seventy-two".