1040413441440 has 96 divisors (see below), whose sum is σ = 3277509008256. Its totient is φ = 277426088960.

The previous prime is 1040413441433. The next prime is 1040413441481. The reversal of 1040413441440 is 441443140401.

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

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 = 1040413441398 and 1040413441407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8730094 + ... + 8848466.

It is an arithmetic number, because the mean of its divisors is an integer number (34140718836).

Almost surely, 2^{1040413441440} is an apocalyptic number.

1040413441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040413441440 is an abundant number, since it is smaller than the sum of its proper divisors (2237095566816).

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

1040413441440 is a wasteful number, since it uses less digits than its factorization.

1040413441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136702 (or 136694 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1040413441440 its reverse (441443140401), we get a palindrome (1481856581841).

The spelling of 1040413441440 in words is "one trillion, forty billion, four hundred thirteen million, four hundred forty-one thousand, four hundred forty".