1961086037328 has 240 divisors, whose sum is σ = 6026365537920. Its totient is φ = 590393318400.

The previous prime is 1961086037299. The next prime is 1961086037341. The reversal of 1961086037328 is 8237306801691.

1961086037328 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 0 + 8 + 603 + 7 + 3 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347769133 + ... + 347774771.

It is an arithmetic number, because the mean of its divisors is an integer number (25109856408).

Almost surely, 2^{1961086037328} is an apocalyptic number.

1961086037328 is a gapful number since it is divisible by the number (18) 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 1961086037328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013182768960).

1961086037328 is an abundant number, since it is smaller than the sum of its proper divisors (4065279500592).

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

1961086037328 is a wasteful number, since it uses less digits than its factorization.

1961086037328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1961086037328 in words is "one trillion, nine hundred sixty-one billion, eighty-six million, thirty-seven thousand, three hundred twenty-eight".