1033330030040 has 192 divisors, whose sum is σ = 3013232970240. Its totient is φ = 315223883520.

The previous prime is 1033330030039. The next prime is 1033330030241. The reversal of 1033330030040 is 400300333301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1033330029994 and 1033330030021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503447 + ... + 1523193.

It is an arithmetic number, because the mean of its divisors is an integer number (15693921720).

Almost surely, 2^{1033330030040} is an apocalyptic number.

1033330030040 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 1033330030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506616485120).

1033330030040 is an abundant number, since it is smaller than the sum of its proper divisors (1979902940200).

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

1033330030040 is a wasteful number, since it uses less digits than its factorization.

1033330030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019830 (or 1019819 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 1033330030040 its reverse (400300333301), we get a palindrome (1433630363341).

The spelling of 1033330030040 in words is "one trillion, thirty-three billion, three hundred thirty million, thirty thousand, forty".