338247440294400 has 3600 divisors, whose sum is σ = 1601151608696640. Its totient is φ = 67596705792000.

The previous prime is 338247440294369. The next prime is 338247440294411. The reversal of 338247440294400 is 4492044742833.

338247440294400 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 474 + 40 + 2 + 94 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×338247440294400² (a number of 30 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 68319011925 + ... + 68319016875.

Almost surely, 2^{338247440294400} is an apocalyptic number.

338247440294400 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 338247440294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800575804348320).

338247440294400 is an abundant number, since it is smaller than the sum of its proper divisors (1262904168402240).

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

338247440294400 is a wasteful number, since it uses less digits than its factorization.

338247440294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 338247440294400 in words is "three hundred thirty-eight trillion, two hundred forty-seven billion, four hundred forty million, two hundred ninety-four thousand, four hundred".