1040409595104 has 96 divisors (see below), whose sum is σ = 2981091133440. Its totient is φ = 315091891200.

The previous prime is 1040409595063. The next prime is 1040409595109. The reversal of 1040409595104 is 4015959040401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040409595109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531137 + ... + 2103615.

It is an arithmetic number, because the mean of its divisors is an integer number (31053032640).

Almost surely, 2^{1040409595104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040409595104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490545566720).

1040409595104 is an abundant number, since it is smaller than the sum of its proper divisors (1940681538336).

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

1040409595104 is a wasteful number, since it uses less digits than its factorization.

1040409595104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574224 (or 574216 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 1040409595104 in words is "one trillion, forty billion, four hundred nine million, five hundred ninety-five thousand, one hundred four".