378027408326400 has 864 divisors, whose sum is σ = 1667594692108800. Its totient is φ = 81858561638400.

The previous prime is 378027408326317. The next prime is 378027408326497. The reversal of 378027408326400 is 4623804720873.

It is a happy number.

378027408326400 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 274 + 0 + 8 + 326 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14758120 + ... + 31206680.

It is an arithmetic number, because the mean of its divisors is an integer number (1930086449200).

Almost surely, 2^{378027408326400} is an apocalyptic number.

378027408326400 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 378027408326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833797346054400).

378027408326400 is an abundant number, since it is smaller than the sum of its proper divisors (1289567283782400).

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

378027408326400 is a wasteful number, since it uses less digits than its factorization.

378027408326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448622 (or 16448597 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 378027408326400 in words is "three hundred seventy-eight trillion, twenty-seven billion, four hundred eight million, three hundred twenty-six thousand, four hundred".