1346604633040 has 80 divisors (see below), whose sum is σ = 3209505359760. Its totient is φ = 525129482240.

The previous prime is 1346604633037. The next prime is 1346604633053. The reversal of 1346604633040 is 403364066431.

It can be written as a sum of positive squares in 8 ways, for example, as 632559352896 + 714045280144 = 795336^2 + 845012^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1346604632984 and 1346604633002.

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 15 ways as a sum of consecutive naturals, for example, 4475832 + ... + 4767208.

It is an arithmetic number, because the mean of its divisors is an integer number (40118816997).

Almost surely, 2^{1346604633040} is an apocalyptic number.

1346604633040 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 1346604633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604752679880).

1346604633040 is an abundant number, since it is smaller than the sum of its proper divisors (1862900726720).

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

1346604633040 is a wasteful number, since it uses less digits than its factorization.

1346604633040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292840 (or 292834 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

Adding to 1346604633040 its reverse (403364066431), we get a palindrome (1749968699471).

The spelling of 1346604633040 in words is "one trillion, three hundred forty-six billion, six hundred four million, six hundred thirty-three thousand, forty".