338411688480 has 240 divisors, whose sum is σ = 1232838883584. Its totient is φ = 87331944960.

The previous prime is 338411688467. The next prime is 338411688509. The reversal of 338411688480 is 84886114833.

338411688480 is a `hidden beast` number, since 3 + 3 + 84 + 1 + 1 + 6 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338411688480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19402 + ... + 822921.

Almost surely, 2^338411688480 is an apocalyptic number.

338411688480 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 338411688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616419441792).

338411688480 is an abundant number, since it is smaller than the sum of its proper divisors (894427195104).

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

338411688480 is a wasteful number, since it uses less digits than its factorization.

338411688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842381 (or 842364 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 338411688480 in words is "three hundred thirty-eight billion, four hundred eleven million, six hundred eighty-eight thousand, four hundred eighty".