395061728400 has 270 divisors, whose sum is σ = 1456367152422. Its totient is φ = 99152486400.

The previous prime is 395061728371. The next prime is 395061728461. The reversal of 395061728400 is 4827160593.

395061728400 is a `hidden beast` number, since 3 + 9 + 5 + 0 + 617 + 28 + 4 + 0 + 0 = 666.

395061728400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 215384976 + 394846343424 = 14676^2 + 628368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 850540 + ... + 1230260.

It is a 2-persistent number, because it is pandigital, and so is 2⋅395061728400 = 790123456800, but 3⋅395061728400 = 1185185185200 is not.

Almost surely, 2^395061728400 is an apocalyptic number.

395061728400 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 395061728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728183576211).

395061728400 is an abundant number, since it is smaller than the sum of its proper divisors (1061305424022).

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

395061728400 is a wasteful number, since it uses less digits than its factorization.

395061728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379779 (or 379748 counting only the distinct ones).

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

Adding to 395061728400 its reverse (4827160593), we get a palindrome (399888888993).

The spelling of 395061728400 in words is "three hundred ninety-five billion, sixty-one million, seven hundred twenty-eight thousand, four hundred".