1034114141000 has 64 divisors (see below), whose sum is σ = 2420061462000. Its totient is φ = 413605593600.

The previous prime is 1034114140999. The next prime is 1034114141033. The reversal of 1034114141000 is 1414114301.

It can be written as a sum of positive squares in 8 ways, for example, as 522726108004 + 511388032996 = 722998^2 + 715114^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11644766 + ... + 11733234.

Almost surely, 2^{1034114141000} is an apocalyptic number.

1034114141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034114141000 is an abundant number, since it is smaller than the sum of its proper divisors (1385947321000).

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

1034114141000 is a wasteful number, since it uses less digits than its factorization.

1034114141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100179 (or 100165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1034114141000 its reverse (1414114301), we get a palindrome (1035528255301).

The spelling of 1034114141000 in words is "one trillion, thirty-four billion, one hundred fourteen million, one hundred forty-one thousand".