1005904049388 has 96 divisors (see below), whose sum is σ = 2703193565184. Its totient is φ = 285176306688.

The previous prime is 1005904049369. The next prime is 1005904049401. The reversal of 1005904049388 is 8839404095001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005904049388.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27520381 + ... + 27556907.

It is an arithmetic number, because the mean of its divisors is an integer number (28158266304).

Almost surely, 2^{1005904049388} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005904049388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351596782592).

1005904049388 is an abundant number, since it is smaller than the sum of its proper divisors (1697289515796).

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

1005904049388 is a wasteful number, since it uses less digits than its factorization.

1005904049388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39071 (or 39069 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 1005904049388 in words is "one trillion, five billion, nine hundred four million, forty-nine thousand, three hundred eighty-eight".