395127008640 has 768 divisors, whose sum is σ = 1683725097600. Its totient is φ = 83147489280.

The previous prime is 395127008609. The next prime is 395127008641. The reversal of 395127008640 is 46800721593.

395127008640 is a `hidden beast` number, since 3 + 9 + 512 + 70 + 0 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×395127008640² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395127008641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266796700 + ... + 266798180.

It is a 1-persistent number, because it is pandigital, but 2⋅395127008640 = 790254017280 is not.

Almost surely, 2^395127008640 is an apocalyptic number.

395127008640 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 395127008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841862548800).

395127008640 is an abundant number, since it is smaller than the sum of its proper divisors (1288598088960).

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

395127008640 is a wasteful number, since it uses less digits than its factorization.

395127008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 395127008640 in words is "three hundred ninety-five billion, one hundred twenty-seven million, eight thousand, six hundred forty".