1961960490000 has 2025 divisors, whose sum is σ = 8641203283713. Its totient is φ = 414158976000.

The previous prime is 1961960489989. The next prime is 1961960490031. The reversal of 1961960490000 is 940691691.

The square root of 1961960490000 is 1400700.

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

1961960490000 is a `hidden beast` number, since 1 + 96 + 19 + 60 + 490 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1467402740496 + 494557749504 = 1211364^2 + 703248^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 67653809986 + ... + 67653810014.

Almost surely, 2^{1961960490000} is an apocalyptic number.

1961960490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1961960490000 is the 1400700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961960490000

1961960490000 is an abundant number, since it is smaller than the sum of its proper divisors (6679242793713).

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

1961960490000 is a wasteful number, since it uses less digits than its factorization.

1961960490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 1961960490000 in words is "one trillion, nine hundred sixty-one billion, nine hundred sixty million, four hundred ninety thousand".