1040662546560 has 1792 divisors, whose sum is σ = 4650946191360. Its totient is φ = 216710774784.

The previous prime is 1040662546559. The next prime is 1040662546591. The reversal of 1040662546560 is 656452660401.

1040662546560 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 66 + 25 + 4 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5392033824 + ... + 5392034016.

It is an arithmetic number, because the mean of its divisors is an integer number (2595394080).

Almost surely, 2^{1040662546560} is an apocalyptic number.

1040662546560 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 1040662546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325473095680).

1040662546560 is an abundant number, since it is smaller than the sum of its proper divisors (3610283644800).

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

1040662546560 is a wasteful number, since it uses less digits than its factorization.

1040662546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 1040 and 662546560, that added together give a square (662547600 = 25740²).

The spelling of 1040662546560 in words is "one trillion, forty billion, six hundred sixty-two million, five hundred forty-six thousand, five hundred sixty".