1040645563776 has 1408 divisors, whose sum is σ = 4098024705600. Its totient is φ = 255409127424.

The previous prime is 1040645563753. The next prime is 1040645563817. The reversal of 1040645563776 is 6773655460401.

1040645563776 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 4 + 5 + 563 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 11692646740 + ... + 11692646828.

Almost surely, 2^{1040645563776} is an apocalyptic number.

1040645563776 is a gapful number since it is divisible by the number (16) 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 1040645563776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049012352800).

1040645563776 is an abundant number, since it is smaller than the sum of its proper divisors (3057379141824).

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

1040645563776 is an frugal number, since it uses more digits than its factorization.

1040645563776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 1040645563776 in words is "one trillion, forty billion, six hundred forty-five million, five hundred sixty-three thousand, seven hundred seventy-six".