1040434332000 has 384 divisors, whose sum is σ = 3899300041728. Its totient is φ = 237574656000.

The previous prime is 1040434331947. The next prime is 1040434332001. The reversal of 1040434332000 is 2334340401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040434332001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 91638324 + ... + 91649676.

It is an arithmetic number, because the mean of its divisors is an integer number (10154427192).

Almost surely, 2^{1040434332000} is an apocalyptic number.

1040434332000 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 1040434332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949650020864).

1040434332000 is an abundant number, since it is smaller than the sum of its proper divisors (2858865709728).

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

1040434332000 is a wasteful number, since it uses less digits than its factorization.

1040434332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12479 (or 12461 counting only the distinct ones).

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

Adding to 1040434332000 its reverse (2334340401), we get a palindrome (1042768672401).

The spelling of 1040434332000 in words is "one trillion, forty billion, four hundred thirty-four million, three hundred thirty-two thousand".