1041128814000 has 320 divisors, whose sum is σ = 3746911753728. Its totient is φ = 246524544000.

The previous prime is 1041128813983. The next prime is 1041128814001. The reversal of 1041128814000 is 4188211401.

1041128814000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1041128814001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2654574 + ... + 3021426.

Almost surely, 2^{1041128814000} is an apocalyptic number.

1041128814000 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 1041128814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873455876864).

1041128814000 is an abundant number, since it is smaller than the sum of its proper divisors (2705782939728).

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

1041128814000 is a wasteful number, since it uses less digits than its factorization.

1041128814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366933 (or 366917 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 1041128814000 in words is "one trillion, forty-one billion, one hundred twenty-eight million, eight hundred fourteen thousand".