1565465040 has 120 divisors (see below), whose sum is σ = 5290003680. Its totient is φ = 414865152.

The previous prime is 1565465029. The next prime is 1565465053. The reversal of 1565465040 is 405645651.

1565465040 is a `hidden beast` number, since 1 + 565 + 4 + 6 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1565464986 and 1565465004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110691 + ... + 124029.

It is an arithmetic number, because the mean of its divisors is an integer number (44083364).

Almost surely, 2^1565465040 is an apocalyptic number.

1565465040 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 1565465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645001840).

1565465040 is an abundant number, since it is smaller than the sum of its proper divisors (3724538640).

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

1565465040 is a wasteful number, since it uses less digits than its factorization.

1565465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13521 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1565465040 is about 39565.9580953122. The cubic root of 1565465040 is about 1161.1307444227.

The spelling of 1565465040 in words is "one billion, five hundred sixty-five million, four hundred sixty-five thousand, forty".