1040134334100 has 144 divisors (see below), whose sum is σ = 3095657448576. Its totient is φ = 269480448000.

The previous prime is 1040134334033. The next prime is 1040134334117. The reversal of 1040134334100 is 14334310401.

1040134334100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2788857 + ... + 3139743.

Almost surely, 2^{1040134334100} is an apocalyptic number.

1040134334100 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 1040134334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547828724288).

1040134334100 is an abundant number, since it is smaller than the sum of its proper divisors (2055523114476).

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

1040134334100 is a wasteful number, since it uses less digits than its factorization.

1040134334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351186 (or 351179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1040134334100 its reverse (14334310401), we get a palindrome (1054468644501).

The spelling of 1040134334100 in words is "one trillion, forty billion, one hundred thirty-four million, three hundred thirty-four thousand, one hundred".