1975982833440 has 1728 divisors, whose sum is σ = 9040864315392. Its totient is φ = 383347261440.

The previous prime is 1975982833417. The next prime is 1975982833453. The reversal of 1975982833440 is 443382895791.

1975982833440 is a `hidden beast` number, since 1 + 9 + 7 + 5 + 9 + 8 + 283 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 3255325617 + ... + 3255326223.

It is an arithmetic number, because the mean of its divisors is an integer number (5231981664).

Almost surely, 2^{1975982833440} is an apocalyptic number.

1975982833440 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 1975982833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520432157696).

1975982833440 is an abundant number, since it is smaller than the sum of its proper divisors (7064881481952).

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

1975982833440 is a wasteful number, since it uses less digits than its factorization.

1975982833440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1975982833440 in words is "one trillion, nine hundred seventy-five billion, nine hundred eighty-two million, eight hundred thirty-three thousand, four hundred forty".