1004400370341 has 12 divisors (see below), whose sum is σ = 1500828139980. Its totient is φ = 646510583040.

The previous prime is 1004400370307. The next prime is 1004400370349. The reversal of 1004400370341 is 1430730044001.

It can be written as a sum of positive squares in 2 ways, for example, as 834169862241 + 170230508100 = 913329^2 + 412590^2 .

It is not a de Polignac number, because 1004400370341 - 2³¹ = 1002252886693 is a prime.

It is a super-2 number, since 2×1004400370341² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004400370349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1924138380 + ... + 1924138901.

It is an arithmetic number, because the mean of its divisors is an integer number (125069011665).

Almost surely, 2^{1004400370341} is an apocalyptic number.

It is an amenable number.

1004400370341 is a deficient number, since it is larger than the sum of its proper divisors (496427769639).

1004400370341 is a wasteful number, since it uses less digits than its factorization.

1004400370341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848277316 (or 3848277313 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 1004400370341 in words is "one trillion, four billion, four hundred million, three hundred seventy thousand, three hundred forty-one".