395633412720 has 1440 divisors, whose sum is σ = 1768653798912. Its totient is φ = 81423304704.

The previous prime is 395633412653. The next prime is 395633412731. The reversal of 395633412720 is 27214336593.

395633412720 is a `hidden beast` number, since 3 + 9 + 5 + 633 + 4 + 1 + 2 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 532480669 + ... + 532481411.

Almost surely, 2^395633412720 is an apocalyptic number.

395633412720 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 395633412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884326899456).

395633412720 is an abundant number, since it is smaller than the sum of its proper divisors (1373020386192).

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

395633412720 is a wasteful number, since it uses less digits than its factorization.

395633412720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 395633412720 in words is "three hundred ninety-five billion, six hundred thirty-three million, four hundred twelve thousand, seven hundred twenty".