1040923128960 has 1024 divisors, whose sum is σ = 4559272704000. Its totient is φ = 220664217600.

The previous prime is 1040923128953. The next prime is 1040923128967. The reversal of 1040923128960 is 698213290401.

1040923128960 is a `hidden beast` number, since 1 + 0 + 409 + 231 + 2 + 8 + 9 + 6 + 0 = 666.

1040923128960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1040923128953) and next prime (1040923128967).

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 (1040923128967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46938675 + ... + 46960845.

It is an arithmetic number, because the mean of its divisors is an integer number (4452414750).

Almost surely, 2^{1040923128960} is an apocalyptic number.

1040923128960 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 1040923128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279636352000).

1040923128960 is an abundant number, since it is smaller than the sum of its proper divisors (3518349575040).

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

1040923128960 is a wasteful number, since it uses less digits than its factorization.

1040923128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22242 (or 22224 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1040923128960 in words is "one trillion, forty billion, nine hundred twenty-three million, one hundred twenty-eight thousand, nine hundred sixty".