1034133333240 has 256 divisors, whose sum is σ = 3563336448000. Its totient is φ = 235193923584.

The previous prime is 1034133333227. The next prime is 1034133333263. The reversal of 1034133333240 is 423333314301.

1034133333240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1034133333198 and 1034133333207.

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, 147455974 + ... + 147462986.

It is an arithmetic number, because the mean of its divisors is an integer number (13919283000).

Almost surely, 2^{1034133333240} is an apocalyptic number.

1034133333240 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 1034133333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781668224000).

1034133333240 is an abundant number, since it is smaller than the sum of its proper divisors (2529203114760).

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

1034133333240 is a wasteful number, since it uses less digits than its factorization.

1034133333240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7886 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 1034133333240 its reverse (423333314301), we get a palindrome (1457466647541).

The spelling of 1034133333240 in words is "one trillion, thirty-four billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred forty".