1040441211440 has 40 divisors (see below), whose sum is σ = 2546342968560. Its totient is φ = 394272458496.

The previous prime is 1040441211419. The next prime is 1040441211461. The reversal of 1040441211440 is 441121440401.

1040441211440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1040441211419) and next prime (1040441211461).

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342248879 + ... + 342251918.

It is an arithmetic number, because the mean of its divisors is an integer number (63658574214).

Almost surely, 2^{1040441211440} is an apocalyptic number.

1040441211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040441211440 is an abundant number, since it is smaller than the sum of its proper divisors (1505901757120).

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

1040441211440 is a wasteful number, since it uses less digits than its factorization.

1040441211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684500829 (or 684500823 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 1040441211440 its reverse (441121440401), we get a palindrome (1481562651841).

The spelling of 1040441211440 in words is "one trillion, forty billion, four hundred forty-one million, two hundred eleven thousand, four hundred forty".