395401556160 has 896 divisors, whose sum is σ = 1545532047360. Its totient is φ = 94560141312.

The previous prime is 395401556063. The next prime is 395401556201. The reversal of 395401556160 is 61655104593.

395401556160 is a `hidden beast` number, since 3 + 95 + 4 + 0 + 1 + 556 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×395401556160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 756025659 + ... + 756026181.

It is an arithmetic number, because the mean of its divisors is an integer number (1724924160).

Almost surely, 2^395401556160 is an apocalyptic number.

395401556160 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 395401556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772766023680).

395401556160 is an abundant number, since it is smaller than the sum of its proper divisors (1150130491200).

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

395401556160 is a wasteful number, since it uses less digits than its factorization.

395401556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 395401556160 in words is "three hundred ninety-five billion, four hundred one million, five hundred fifty-six thousand, one hundred sixty".