1004141611300 has 36 divisors (see below), whose sum is σ = 2179367564500. Its totient is φ = 401586549120.

The previous prime is 1004141611289. The next prime is 1004141611307. The reversal of 1004141611300 is 31161414001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 192455935204 + 811685676096 = 438698^2 + 900936^2 .

It is not an unprimeable number, because it can be changed into a prime (1004141611307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298419 + ... + 1448218.

Almost surely, 2^{1004141611300} is an apocalyptic number.

1004141611300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004141611300 is an abundant number, since it is smaller than the sum of its proper divisors (1175225953200).

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

1004141611300 is a wasteful number, since it uses less digits than its factorization.

1004141611300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752400 (or 1752393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

It can be divided in two parts, 1004141 and 611300, that added together give a square (1615441 = 1271²).

The spelling of 1004141611300 in words is "one trillion, four billion, one hundred forty-one million, six hundred eleven thousand, three hundred".