1961242805760 has 640 divisors, whose sum is σ = 7410835390464. Its totient is φ = 432994222080.

The previous prime is 1961242805737. The next prime is 1961242805831. The reversal of 1961242805760 is 675082421691.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1378244409 + ... + 1378245831.

Almost surely, 2^{1961242805760} is an apocalyptic number.

1961242805760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961242805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705417695232).

1961242805760 is an abundant number, since it is smaller than the sum of its proper divisors (5449592584704).

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

1961242805760 is a wasteful number, since it uses less digits than its factorization.

1961242805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1961242805760 in words is "one trillion, nine hundred sixty-one billion, two hundred forty-two million, eight hundred five thousand, seven hundred sixty".