1004409196440 has 256 divisors, whose sum is σ = 3264784790400. Its totient is φ = 245736751104.

The previous prime is 1004409196337. The next prime is 1004409196459. The reversal of 1004409196440 is 446919044001.

It is a junction number, because it is equal to n+sod(n) for n = 1004409196392 and 1004409196401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241849404 + ... + 241853556.

Almost surely, 2^{1004409196440} is an apocalyptic number.

1004409196440 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 1004409196440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632392395200).

1004409196440 is an abundant number, since it is smaller than the sum of its proper divisors (2260375593960).

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

1004409196440 is a wasteful number, since it uses less digits than its factorization.

1004409196440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1004409196440 in words is "one trillion, four billion, four hundred nine million, one hundred ninety-six thousand, four hundred forty".