1346201560400 has 180 divisors, whose sum is σ = 3370382878044. Its totient is φ = 516420864000.

The previous prime is 1346201560351. The next prime is 1346201560439. The reversal of 1346201560400 is 40651026431.

It can be written as a sum of positive squares in 6 ways, for example, as 357632704576 + 988568855824 = 598024^2 + 994268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57076610 + ... + 57100190.

Almost surely, 2^{1346201560400} is an apocalyptic number.

1346201560400 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 1346201560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685191439022).

1346201560400 is an abundant number, since it is smaller than the sum of its proper divisors (2024181317644).

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

1346201560400 is a wasteful number, since it uses less digits than its factorization.

1346201560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758 (or 23688 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 1346201560400 its reverse (40651026431), we get a palindrome (1386852586831).

The spelling of 1346201560400 in words is "one trillion, three hundred forty-six billion, two hundred one million, five hundred sixty thousand, four hundred".