1034144104140 has 288 divisors, whose sum is σ = 3788425105920. Its totient is φ = 223062294528.

The previous prime is 1034144104139. The next prime is 1034144104153. The reversal of 1034144104140 is 414014414301.

1034144104140 is a `hidden beast` number, since 1 + 0 + 3 + 414 + 4 + 104 + 140 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6068539 + ... + 6236621.

It is an arithmetic number, because the mean of its divisors is an integer number (13154253840).

Almost surely, 2^{1034144104140} is an apocalyptic number.

1034144104140 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 1034144104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894212552960).

1034144104140 is an abundant number, since it is smaller than the sum of its proper divisors (2754281001780).

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

1034144104140 is a wasteful number, since it uses less digits than its factorization.

1034144104140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168381 (or 168376 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1034144104140 its reverse (414014414301), we get a palindrome (1448158518441).

The spelling of 1034144104140 in words is "one trillion, thirty-four billion, one hundred forty-four million, one hundred four thousand, one hundred forty".