1961428260100 has 81 divisors (see below), whose sum is σ = 4358923300767. Its totient is φ = 766090174080.

The previous prime is 1961428260049. The next prime is 1961428260119. The reversal of 1961428260100 is 10628241691.

The square root of 1961428260100 is 1400510.

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 125359899844 + 1836068360256 = 354062^2 + 1355016^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 602217672 + ... + 602220928.

Almost surely, 2^{1961428260100} is an apocalyptic number.

1961428260100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1961428260100 is the 1400510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961428260100

1961428260100 is an abundant number, since it is smaller than the sum of its proper divisors (2397495040667).

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

1961428260100 is an frugal number, since it uses more digits than its factorization.

1961428260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 1961428260100 in words is "one trillion, nine hundred sixty-one billion, four hundred twenty-eight million, two hundred sixty thousand, one hundred".