1961316220900 has 81 divisors (see below), whose sum is σ = 4449878402011. Its totient is φ = 750293399680.

The previous prime is 1961316220883. The next prime is 1961316220909. The reversal of 1961316220900 is 90226131691.

The square root of 1961316220900 is 1400470.

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 345224403364 + 1616091817536 = 587558^2 + 1271256^2 .

It is a super-2 number, since 2×1961316220900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1961316220909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 322105056 + ... + 322111144.

Almost surely, 2^{1961316220900} is an apocalyptic number.

1961316220900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1961316220900 is the 1400470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961316220900

1961316220900 is an abundant number, since it is smaller than the sum of its proper divisors (2488562181111).

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

1961316220900 is an frugal number, since it uses more digits than its factorization.

1961316220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12238 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 1961316220900 in words is "one trillion, nine hundred sixty-one billion, three hundred sixteen million, two hundred twenty thousand, nine hundred".