1003400707041 has 12 divisors (see below), whose sum is σ = 1449382299300. Its totient is φ = 668921932800.

The previous prime is 1003400707039. The next prime is 1003400707081. The reversal of 1003400707041 is 1407070043001.

It can be written as a sum of positive squares in 2 ways, for example, as 856589121441 + 146811585600 = 925521^2 + 383160^2 .

It is not a de Polignac number, because 1003400707041 - 2¹ = 1003400707039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003400706996 and 1003400707014.

It is not an unprimeable number, because it can be changed into a prime (1003400707081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437860 + ... + 1482741.

It is an arithmetic number, because the mean of its divisors is an integer number (120781858275).

Almost surely, 2^{1003400707041} is an apocalyptic number.

It is an amenable number.

1003400707041 is a deficient number, since it is larger than the sum of its proper divisors (445981592259).

1003400707041 is a wasteful number, since it uses less digits than its factorization.

1003400707041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978656 (or 1978653 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 1003400707041 in words is "one trillion, three billion, four hundred million, seven hundred seven thousand, forty-one".