1566725440 has 112 divisors (see below), whose sum is σ = 4514648832. Its totient is φ = 505552896.

The previous prime is 1566725411. The next prime is 1566725507. The reversal of 1566725440 is 445276651.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1566725393 and 1566725402.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17509 + ... + 58651.

Almost surely, 2^1566725440 is an apocalyptic number.

1566725440 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 1566725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257324416).

1566725440 is an abundant number, since it is smaller than the sum of its proper divisors (2947923392).

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

1566725440 is a wasteful number, since it uses less digits than its factorization.

1566725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41184 (or 41174 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 1566725440 is about 39581.8827242970. The cubic root of 1566725440 is about 1161.4422805186.

The spelling of 1566725440 in words is "one billion, five hundred sixty-six million, seven hundred twenty-five thousand, four hundred forty".