338655349440 has 560 divisors, whose sum is σ = 1288961831520. Its totient is φ = 84145029120.

The previous prime is 338655349433. The next prime is 338655349457. The reversal of 338655349440 is 44943556833.

338655349440 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 553 + 49 + 4 + 40 = 666.

It is a super-2 number, since 2×338655349440² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30035644 + ... + 30046916.

Almost surely, 2^338655349440 is an apocalyptic number.

338655349440 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 338655349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644480915760).

338655349440 is an abundant number, since it is smaller than the sum of its proper divisors (950306482080).

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

338655349440 is a wasteful number, since it uses less digits than its factorization.

338655349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 338655349440 in words is "three hundred thirty-eight billion, six hundred fifty-five million, three hundred forty-nine thousand, four hundred forty".