379966406400 has 648 divisors, whose sum is σ = 1559423523840. Its totient is φ = 86464143360.

The previous prime is 379966406353. The next prime is 379966406441. The reversal of 379966406400 is 4604669973.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 96362829 + ... + 96366771.

Almost surely, 2^379966406400 is an apocalyptic number.

379966406400 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 379966406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779711761920).

379966406400 is an abundant number, since it is smaller than the sum of its proper divisors (1179457117440).

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

379966406400 is a wasteful number, since it uses less digits than its factorization.

379966406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 379966406400 in words is "three hundred seventy-nine billion, nine hundred sixty-six million, four hundred six thousand, four hundred".