1041283514880 has 960 divisors, whose sum is σ = 4354071321600. Its totient is φ = 224665436160.

The previous prime is 1041283514839. The next prime is 1041283514881. The reversal of 1041283514880 is 884153821401.

1041283514880 is a `hidden beast` number, since 1 + 0 + 4 + 128 + 3 + 514 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1041283514881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1283949675 + ... + 1283950485.

It is an arithmetic number, because the mean of its divisors is an integer number (4535490960).

Almost surely, 2^{1041283514880} is an apocalyptic number.

1041283514880 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 1041283514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177035660800).

1041283514880 is an abundant number, since it is smaller than the sum of its proper divisors (3312787806720).

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

1041283514880 is a wasteful number, since it uses less digits than its factorization.

1041283514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1041283514880 in words is "one trillion, forty-one billion, two hundred eighty-three million, five hundred fourteen thousand, eight hundred eighty".