395485172016480 has 6912 divisors, whose sum is σ = 1866453611323392. Its totient is φ = 75414011904000.

The previous prime is 395485172016469. The next prime is 395485172016587. The reversal of 395485172016480 is 84610271584593.

It is a happy number.

395485172016480 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 8 + 517 + 20 + 16 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4764881590519 + ... + 4764881590601.

It is an arithmetic number, because the mean of its divisors is an integer number (270030904416).

It is a 1-persistent number, because it is pandigital, but 2⋅395485172016480 = 790970344032960 is not.

Almost surely, 2^{395485172016480} is an apocalyptic number.

395485172016480 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 395485172016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933226805661696).

395485172016480 is an abundant number, since it is smaller than the sum of its proper divisors (1470968439306912).

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

395485172016480 is a wasteful number, since it uses less digits than its factorization.

395485172016480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 395485172016480 in words is "three hundred ninety-five trillion, four hundred eighty-five billion, one hundred seventy-two million, sixteen thousand, four hundred eighty".