1004342141040 has 160 divisors (see below), whose sum is σ = 3559143628800. Its totient is φ = 229505667072.

The previous prime is 1004342140979. The next prime is 1004342141051. The reversal of 1004342141040 is 401412434001.

It is a super-2 number, since 2×1004342141040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1004342141040.

It is a congruent number.

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, 6728497 + ... + 6876143.

It is an arithmetic number, because the mean of its divisors is an integer number (22244647680).

Almost surely, 2^{1004342141040} is an apocalyptic number.

1004342141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004342141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779571814400).

1004342141040 is an abundant number, since it is smaller than the sum of its proper divisors (2554801487760).

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

1004342141040 is a wasteful number, since it uses less digits than its factorization.

1004342141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151719 (or 151713 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1004342141040 its reverse (401412434001), we get a palindrome (1405754575041).

The spelling of 1004342141040 in words is "one trillion, four billion, three hundred forty-two million, one hundred forty-one thousand, forty".