395894822400 has 3360 divisors, whose sum is σ = 1996548998400. Its totient is φ = 75246796800.

The previous prime is 395894822399. The next prime is 395894822423. The reversal of 395894822400 is 4228498593.

395894822400 is a `hidden beast` number, since 39 + 589 + 4 + 8 + 2 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 335 ways as a sum of consecutive naturals, for example, 13651545586 + ... + 13651545614.

Almost surely, 2^395894822400 is an apocalyptic number.

395894822400 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 395894822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998274499200).

395894822400 is an abundant number, since it is smaller than the sum of its proper divisors (1600654176000).

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

395894822400 is a wasteful number, since it uses less digits than its factorization.

395894822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 395894822400 in words is "three hundred ninety-five billion, eight hundred ninety-four million, eight hundred twenty-two thousand, four hundred".