1005404637342 has 64 divisors (see below), whose sum is σ = 2352163866624. Its totient is φ = 280500161760.

The previous prime is 1005404637163. The next prime is 1005404637361. The reversal of 1005404637342 is 2437364045001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005404637342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6590533 + ... + 6741359.

It is an arithmetic number, because the mean of its divisors is an integer number (36752560416).

Almost surely, 2^{1005404637342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005404637342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176081933312).

1005404637342 is an abundant number, since it is smaller than the sum of its proper divisors (1346759229282).

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

1005404637342 is a wasteful number, since it uses less digits than its factorization.

1005404637342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154573.

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 1005404637342 in words is "one trillion, five billion, four hundred four million, six hundred thirty-seven thousand, three hundred forty-two".