338438462971840 has 448 divisors, whose sum is σ = 1012303276489728. Its totient is φ = 104696377344000.

The previous prime is 338438462971783. The next prime is 338438462971859. The reversal of 338438462971840 is 48179264834833.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×338438462971840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 338438462971840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31775270515 + ... + 31775281165.

Almost surely, 2^{338438462971840} 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 338438462971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506151638244864).

338438462971840 is an abundant number, since it is smaller than the sum of its proper divisors (673864813517888).

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

338438462971840 is a wasteful number, since it uses less digits than its factorization.

338438462971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20236 (or 20226 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 70.

The spelling of 338438462971840 in words is "three hundred thirty-eight trillion, four hundred thirty-eight billion, four hundred sixty-two million, nine hundred seventy-one thousand, eight hundred forty".