1204440431040 has 1008 divisors, whose sum is σ = 5566620275424. Its totient is φ = 235546214400.

The previous prime is 1204440431009. The next prime is 1204440431087. The reversal of 1204440431040 is 401340444021.

1204440431040 is a `hidden beast` number, since 1 + 204 + 4 + 404 + 3 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 1204440430995 and 1204440431013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26366620 + ... + 26412260.

Almost surely, 2^{1204440431040} is an apocalyptic number.

1204440431040 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 1204440431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783310137712).

1204440431040 is an abundant number, since it is smaller than the sum of its proper divisors (4362179844384).

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

1204440431040 is a wasteful number, since it uses less digits than its factorization.

1204440431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45706 (or 45686 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1204440431040 its reverse (401340444021), we get a palindrome (1605780875061).

The spelling of 1204440431040 in words is "one trillion, two hundred four billion, four hundred forty million, four hundred thirty-one thousand, forty".