1034020433040 has 640 divisors, whose sum is σ = 3868552396800. Its totient is φ = 223511961600.

The previous prime is 1034020433011. The next prime is 1034020433051. The reversal of 1034020433040 is 403340204301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1034020433040.

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 127 ways as a sum of consecutive naturals, for example, 530537986 + ... + 530539934.

It is an arithmetic number, because the mean of its divisors is an integer number (6044613120).

Almost surely, 2^{1034020433040} is an apocalyptic number.

1034020433040 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 1034020433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934276198400).

1034020433040 is an abundant number, since it is smaller than the sum of its proper divisors (2834531963760).

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

1034020433040 is a wasteful number, since it uses less digits than its factorization.

1034020433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1034020433040 its reverse (403340204301), we get a palindrome (1437360637341).

The spelling of 1034020433040 in words is "one trillion, thirty-four billion, twenty million, four hundred thirty-three thousand, forty".