1004333111040 has 288 divisors, whose sum is σ = 3679369537536. Its totient is φ = 228713103360.

The previous prime is 1004333110993. The next prime is 1004333111053. The reversal of 1004333111040 is 401113334001.

1004333111040 is digitally balanced in base 2 and base 4, because in such bases 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 1004333110998 and 1004333111016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7215544 + ... + 7353416.

It is an arithmetic number, because the mean of its divisors is an integer number (12775588672).

Almost surely, 2^{1004333111040} is an apocalyptic number.

1004333111040 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 1004333111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839684768768).

1004333111040 is an abundant number, since it is smaller than the sum of its proper divisors (2675036426496).

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

1004333111040 is a wasteful number, since it uses less digits than its factorization.

1004333111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138175 (or 138161 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1004333111040 its reverse (401113334001), we get a palindrome (1405446445041).

The spelling of 1004333111040 in words is "one trillion, four billion, three hundred thirty-three million, one hundred eleven thousand, forty".