1004040342000 has 120 divisors (see below), whose sum is σ = 3506778297360. Its totient is φ = 267744086400.

The previous prime is 1004040341987. The next prime is 1004040342023. The reversal of 1004040342000 is 2430404001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27872010 + ... + 27908009.

It is an arithmetic number, because the mean of its divisors is an integer number (29223152478).

Almost surely, 2^{1004040342000} is an apocalyptic number.

1004040342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004040342000 is an abundant number, since it is smaller than the sum of its proper divisors (2502737955360).

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

1004040342000 is a wasteful number, since it uses less digits than its factorization.

1004040342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55780048 (or 55780029 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1004040342000 its reverse (2430404001), we get a palindrome (1006470746001).

The spelling of 1004040342000 in words is "one trillion, four billion, forty million, three hundred forty-two thousand".