395909591616 has 840 divisors, whose sum is σ = 1502908827552. Its totient is φ = 102745843200.

The previous prime is 395909591603. The next prime is 395909591639. The reversal of 395909591616 is 616195909593.

395909591616 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 0 + 9 + 5 + 9 + 1 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 338094711 + ... + 338095881.

Almost surely, 2^395909591616 is an apocalyptic number.

395909591616 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 395909591616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751454413776).

395909591616 is an abundant number, since it is smaller than the sum of its proper divisors (1106999235936).

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

395909591616 is a wasteful number, since it uses less digits than its factorization.

395909591616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 17714700, while the sum is 63.

The spelling of 395909591616 in words is "three hundred ninety-five billion, nine hundred nine million, five hundred ninety-one thousand, six hundred sixteen".