1969961140224 has 1728 divisors, whose sum is σ = 7940377359720. Its totient is φ = 481579499520.

The previous prime is 1969961140171. The next prime is 1969961140237. The reversal of 1969961140224 is 4220411699691.

1969961140224 is a `hidden beast` number, since 1 + 96 + 99 + 61 + 1 + 402 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 115880067064 + ... + 115880067080.

Almost surely, 2^{1969961140224} is an apocalyptic number.

1969961140224 is a gapful number since it is divisible by the number (14) 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 1969961140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970188679860).

1969961140224 is an abundant number, since it is smaller than the sum of its proper divisors (5970416219496).

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

1969961140224 is an frugal number, since it uses more digits than its factorization.

1969961140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1969961140224 in words is "one trillion, nine hundred sixty-nine billion, nine hundred sixty-one million, one hundred forty thousand, two hundred twenty-four".