379228424256000 has 3840 divisors, whose sum is σ = 1642496650629120. Its totient is φ = 83023626240000.

The previous prime is 379228424255977. The next prime is 379228424256007. The reversal of 379228424256000 is 652424822973.

379228424256000 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 2 + 8 + 4 + 2 + 4 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (379228424256007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 457452863586 + ... + 457452864414.

It is an arithmetic number, because the mean of its divisors is an integer number (427733502768).

Almost surely, 2^{379228424256000} is an apocalyptic number.

379228424256000 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 379228424256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821248325314560).

379228424256000 is an abundant number, since it is smaller than the sum of its proper divisors (1263268226373120).

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

379228424256000 is a wasteful number, since it uses less digits than its factorization.

379228424256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 379228424256000 in words is "three hundred seventy-nine trillion, two hundred twenty-eight billion, four hundred twenty-four million, two hundred fifty-six thousand".