1033984448640 has 2048 divisors, whose sum is σ = 4560095232000. Its totient is φ = 217937018880.

The previous prime is 1033984448621. The next prime is 1033984448671. The reversal of 1033984448640 is 468444893301.

1033984448640 is a `hidden beast` number, since 1 + 0 + 33 + 98 + 4 + 4 + 486 + 40 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 3368027367 + ... + 3368027673.

It is an arithmetic number, because the mean of its divisors is an integer number (2226609000).

Almost surely, 2^{1033984448640} is an apocalyptic number.

1033984448640 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 1033984448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280047616000).

1033984448640 is an abundant number, since it is smaller than the sum of its proper divisors (3526110783360).

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

1033984448640 is a wasteful number, since it uses less digits than its factorization.

1033984448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1033984448640 in words is "one trillion, thirty-three billion, nine hundred eighty-four million, four hundred forty-eight thousand, six hundred forty".