338000221440 has 1440 divisors, whose sum is σ = 1458918768384. Its totient is φ = 73096888320.

The previous prime is 338000221409. The next prime is 338000221451. The reversal of 338000221440 is 44122000833.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×338000221440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1100977767 + ... + 1100978073.

Almost surely, 2^338000221440 is an apocalyptic number.

338000221440 is a gapful number since it is divisible by the number (30) 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 338000221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729459384192).

338000221440 is an abundant number, since it is smaller than the sum of its proper divisors (1120918546944).

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

338000221440 is a wasteful number, since it uses less digits than its factorization.

338000221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 338000221440 in words is "three hundred thirty-eight billion, two hundred twenty-one thousand, four hundred forty".