1033013485440 has 512 divisors, whose sum is σ = 3734794137600. Its totient is φ = 269752983552.

The previous prime is 1033013485379. The next prime is 1033013485457. The reversal of 1033013485440 is 445843103301.

1033013485440 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 0 + 134 + 85 + 440 = 666.

It is a super-2 number, since 2×1033013485440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1033013485395 and 1033013485404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 790369267 + ... + 790370573.

It is an arithmetic number, because the mean of its divisors is an integer number (7294519800).

Almost surely, 2^{1033013485440} is an apocalyptic number.

1033013485440 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 1033013485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867397068800).

1033013485440 is an abundant number, since it is smaller than the sum of its proper divisors (2701780652160).

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

1033013485440 is a wasteful number, since it uses less digits than its factorization.

1033013485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1033013485440 its reverse (445843103301), we get a palindrome (1478856588741).

The spelling of 1033013485440 in words is "one trillion, thirty-three billion, thirteen million, four hundred eighty-five thousand, four hundred forty".