1066564435040 has 288 divisors, whose sum is σ = 2798020786176. Its totient is φ = 383843665920.

The previous prime is 1066564435037. The next prime is 1066564435051. The reversal of 1066564435040 is 405344656601.

It is a super-2 number, since 2×1066564435040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066564434982 and 1066564435000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334239845 + ... + 334243035.

It is an arithmetic number, because the mean of its divisors is an integer number (9715349952).

Almost surely, 2^{1066564435040} is an apocalyptic number.

1066564435040 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 1066564435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399010393088).

1066564435040 is an abundant number, since it is smaller than the sum of its proper divisors (1731456351136).

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

1066564435040 is a wasteful number, since it uses less digits than its factorization.

1066564435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 1066564435040 in words is "one trillion, sixty-six billion, five hundred sixty-four million, four hundred thirty-five thousand, forty".