1961450164800 has 1344 divisors, whose sum is σ = 8778565120000. Its totient is φ = 424674109440.

The previous prime is 1961450164799. The next prime is 1961450164847. The reversal of 1961450164800 is 84610541691.

1961450164800 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 4 + 501 + 64 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281530917 + ... + 281537883.

Almost surely, 2^{1961450164800} is an apocalyptic number.

1961450164800 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 1961450164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389282560000).

1961450164800 is an abundant number, since it is smaller than the sum of its proper divisors (6817114955200).

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

1961450164800 is a wasteful number, since it uses less digits than its factorization.

1961450164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1961450164800 in words is "one trillion, nine hundred sixty-one billion, four hundred fifty million, one hundred sixty-four thousand, eight hundred".