1961333408160 has 384 divisors, whose sum is σ = 7993365327360. Its totient is φ = 439845838848.

The previous prime is 1961333408149. The next prime is 1961333408197. The reversal of 1961333408160 is 618043331691.

It is a happy number.

1961333408160 is a `hidden beast` number, since 19 + 6 + 133 + 340 + 8 + 160 = 666.

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 63 ways as a sum of consecutive naturals, for example, 990844 + ... + 2214596.

It is an arithmetic number, because the mean of its divisors is an integer number (20816055540).

Almost surely, 2^{1961333408160} is an apocalyptic number.

1961333408160 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 1961333408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996682663680).

1961333408160 is an abundant number, since it is smaller than the sum of its proper divisors (6032031919200).

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

1961333408160 is a wasteful number, since it uses less digits than its factorization.

1961333408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223837 (or 1223823 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1961333408160 in words is "one trillion, nine hundred sixty-one billion, three hundred thirty-three million, four hundred eight thousand, one hundred sixty".