1040761128960 has 1152 divisors, whose sum is σ = 4557754656000. Its totient is φ = 223845285888.

The previous prime is 1040761128919. The next prime is 1040761128973. The reversal of 1040761128960 is 698211670401.

1040761128960 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 7 + 611 + 28 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230305581 + ... + 230310099.

It is an arithmetic number, because the mean of its divisors is an integer number (3956384250).

Almost surely, 2^{1040761128960} is an apocalyptic number.

1040761128960 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 1040761128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278877328000).

1040761128960 is an abundant number, since it is smaller than the sum of its proper divisors (3516993527040).

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

1040761128960 is a wasteful number, since it uses less digits than its factorization.

1040761128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1040761128960 in words is "one trillion, forty billion, seven hundred sixty-one million, one hundred twenty-eight thousand, nine hundred sixty".