1986464736400 has 135 divisors (see below), whose sum is σ = 5038243321131. Its totient is φ = 752562627840.

The previous prime is 1986464736371. The next prime is 1986464736427. The reversal of 1986464736400 is 46374646891.

The square root of 1986464736400 is 1409420.

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 282458235024 + 1704006501376 = 531468^2 + 1305376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 535577746 + ... + 535581454.

Almost surely, 2^{1986464736400} is an apocalyptic number.

1986464736400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1986464736400 is the 1409420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1986464736400

1986464736400 is an abundant number, since it is smaller than the sum of its proper divisors (3051778584731).

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

1986464736400 is an frugal number, since it uses more digits than its factorization.

1986464736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 1986464736400 in words is "one trillion, nine hundred eighty-six billion, four hundred sixty-four million, seven hundred thirty-six thousand, four hundred".