1041924288000 has 640 divisors, whose sum is σ = 3827660728320. Its totient is φ = 250114867200.

The previous prime is 1041924287933. The next prime is 1041924288007. The reversal of 1041924288000 is 8824291401.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 1041924288000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041924288007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75065061 + ... + 75078939.

It is an arithmetic number, because the mean of its divisors is an integer number (5980719888).

Almost surely, 2^{1041924288000} is an apocalyptic number.

1041924288000 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 1041924288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913830364160).

1041924288000 is an abundant number, since it is smaller than the sum of its proper divisors (2785736440320).

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

1041924288000 is a wasteful number, since it uses less digits than its factorization.

1041924288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13955 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 1041924288000 in words is "one trillion, forty-one billion, nine hundred twenty-four million, two hundred eighty-eight thousand".