1961426944 has 51 divisors (see below), whose sum is σ = 3945630313. Its totient is φ = 975044608.

The previous prime is 1961426933. The next prime is 1961426963. The reversal of 1961426944 is 4496241691.

The square root of 1961426944 is 44288.

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

It can be written as a sum of positive squares in only one way, i.e., 1784217600 + 177209344 = 42240^2 + 13312^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1961426894 and 1961426903.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11337642 + ... + 11337814.

Almost surely, 2^1961426944 is an apocalyptic number.

1961426944 is the 44288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961426944

1961426944 is an abundant number, since it is smaller than the sum of its proper divisors (1984203369).

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

1961426944 is an frugal number, since it uses more digits than its factorization.

1961426944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 175 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The cubic root of 1961426944 is about 1251.7685779123.

The spelling of 1961426944 in words is "one billion, nine hundred sixty-one million, four hundred twenty-six thousand, nine hundred forty-four".