394776201456 has 1440 divisors, whose sum is σ = 1548980858880. Its totient is φ = 91074170880.

The previous prime is 394776201451. The next prime is 394776201461. The reversal of 394776201456 is 654102677493.

394776201456 is a `hidden beast` number, since 3 + 9 + 4 + 7 + 7 + 620 + 1 + 4 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (394776201451) and next prime (394776201461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394776201451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8399493625 + ... + 8399493671.

It is an arithmetic number, because the mean of its divisors is an integer number (1075681152).

Almost surely, 2^394776201456 is an apocalyptic number.

394776201456 is a gapful number since it is divisible by the number (36) 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 394776201456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774490429440).

394776201456 is an abundant number, since it is smaller than the sum of its proper divisors (1154204657424).

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

394776201456 is a wasteful number, since it uses less digits than its factorization.

394776201456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 394776201456 in words is "three hundred ninety-four billion, seven hundred seventy-six million, two hundred one thousand, four hundred fifty-six".