395035214112000 has 5760 divisors, whose sum is σ = 1954716377822208. Its totient is φ = 76695994368000.

The previous prime is 395035214111971. The next prime is 395035214112001. The reversal of 395035214112000 is 211412530593.

It is a happy number.

395035214112000 is a `hidden beast` number, since 3 + 9 + 5 + 0 + 3 + 521 + 4 + 1 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395035214112001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 586976543664 + ... + 586976544336.

Almost surely, 2^{395035214112000} is an apocalyptic number.

395035214112000 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 395035214112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977358188911104).

395035214112000 is an abundant number, since it is smaller than the sum of its proper divisors (1559681163710208).

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

395035214112000 is a wasteful number, since it uses less digits than its factorization.

395035214112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 395035214112000 its reverse (211412530593), we get a palindrome (395246626642593).

The spelling of 395035214112000 in words is "three hundred ninety-five trillion, thirty-five billion, two hundred fourteen million, one hundred twelve thousand".