1041505200224 has 48 divisors (see below), whose sum is σ = 2099512622592. Its totient is φ = 508311393408.

The previous prime is 1041505200223. The next prime is 1041505200271. The reversal of 1041505200224 is 4220025051401.

It is a junction number, because it is equal to n+sod(n) for n = 1041505200193 and 1041505200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041505200223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877897 + ... + 2368439.

It is an arithmetic number, because the mean of its divisors is an integer number (43739846304).

Almost surely, 2^{1041505200224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041505200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049756311296).

1041505200224 is an abundant number, since it is smaller than the sum of its proper divisors (1058007422368).

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

1041505200224 is a wasteful number, since it uses less digits than its factorization.

1041505200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492139 (or 492131 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 1041505200224 in words is "one trillion, forty-one billion, five hundred five million, two hundred thousand, two hundred twenty-four".