1961883431424 has 960 divisors, whose sum is σ = 7073280614400. Its totient is φ = 542090465280.

The previous prime is 1961883431407. The next prime is 1961883431479. The reversal of 1961883431424 is 4241343881691.

1961883431424 is a `hidden beast` number, since 1 + 9 + 6 + 188 + 3 + 4 + 31 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1322914587 + ... + 1322916069.

It is an arithmetic number, because the mean of its divisors is an integer number (7368000640).

Almost surely, 2^{1961883431424} is an apocalyptic number.

1961883431424 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 1961883431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536640307200).

1961883431424 is an abundant number, since it is smaller than the sum of its proper divisors (5111397182976).

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

1961883431424 is an frugal number, since it uses more digits than its factorization.

1961883431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1526 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 1961883431424 in words is "one trillion, nine hundred sixty-one billion, eight hundred eighty-three million, four hundred thirty-one thousand, four hundred twenty-four".