1041204415440 has 160 divisors (see below), whose sum is σ = 3691126609920. Its totient is φ = 237841961472.

The previous prime is 1041204415421. The next prime is 1041204415463. The reversal of 1041204415440 is 445144021401.

It is a super-2 number, since 2×1041204415440² (a number of 25 digits) contains 22 as substring.

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 = 1041204415398 and 1041204415407.

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, 2528517 + ... + 2911323.

It is an arithmetic number, because the mean of its divisors is an integer number (23069541312).

Almost surely, 2^{1041204415440} is an apocalyptic number.

1041204415440 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 1041204415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845563304960).

1041204415440 is an abundant number, since it is smaller than the sum of its proper divisors (2649922194480).

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

1041204415440 is a wasteful number, since it uses less digits than its factorization.

1041204415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384449 (or 384443 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1041204415440 its reverse (445144021401), we get a palindrome (1486348436841).

The spelling of 1041204415440 in words is "one trillion, forty-one billion, two hundred four million, four hundred fifteen thousand, four hundred forty".