1395414632000 has 112 divisors (see below), whose sum is σ = 3470580492912. Its totient is φ = 555769548800.

The previous prime is 1395414631997. The next prime is 1395414632047. The reversal of 1395414632000 is 2364145931.

It can be written as a sum of positive squares in 8 ways, for example, as 256959775744 + 1138454856256 = 506912^2 + 1066984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489694 + ... + 2238306.

Almost surely, 2^{1395414632000} is an apocalyptic number.

1395414632000 is a gapful number since it is divisible by the number (10) 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 1395414632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735290246456).

1395414632000 is an abundant number, since it is smaller than the sum of its proper divisors (2075165860912).

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

1395414632000 is an equidigital number, since it uses as much as digits as its factorization.

1395414632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748873 (or 748853 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

Adding to 1395414632000 its reverse (2364145931), we get a palindrome (1397778777931).

The spelling of 1395414632000 in words is "one trillion, three hundred ninety-five billion, four hundred fourteen million, six hundred thirty-two thousand".