1040561406300 has 288 divisors, whose sum is σ = 3275790336000. Its totient is φ = 253501194240.

The previous prime is 1040561406289. The next prime is 1040561406323. The reversal of 1040561406300 is 36041650401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222387361 + ... + 222392039.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272000).

Almost surely, 2^{1040561406300} is an apocalyptic number.

1040561406300 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 1040561406300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168000).

1040561406300 is an abundant number, since it is smaller than the sum of its proper divisors (2235228929700).

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

1040561406300 is a wasteful number, since it uses less digits than its factorization.

1040561406300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 1040561406300 in words is "one trillion, forty billion, five hundred sixty-one million, four hundred six thousand, three hundred".