1036201843600 has 405 divisors, whose sum is σ = 3187941370803. Its totient is φ = 322483392000.

The previous prime is 1036201843597. The next prime is 1036201843627. The reversal of 1036201843600 is 63481026301.

It is a happy number.

The square root of 1036201843600 is 1017940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30497732496 + 1005704111104 = 174636^2 + 1002848^2 .

It is a super-3 number, since 3×1036201843600³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1567627270 + ... + 1567627930.

Almost surely, 2^{1036201843600} is an apocalyptic number.

1036201843600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1036201843600 is the 1017940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036201843600

1036201843600 is an abundant number, since it is smaller than the sum of its proper divisors (2151739527203).

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

1036201843600 is an equidigital number, since it uses as much as digits as its factorization.

1036201843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 1036201843600 its reverse (63481026301), we get a palindrome (1099682869901).

The spelling of 1036201843600 in words is "one trillion, thirty-six billion, two hundred one million, eight hundred forty-three thousand, six hundred".