532056349440 has 2304 divisors, whose sum is σ = 2627831808000. Its totient is φ = 98418032640.

The previous prime is 532056349369. The next prime is 532056349441. The reversal of 532056349440 is 44943650235.

532056349440 is a `hidden beast` number, since 5 + 3 + 2 + 0 + 5 + 634 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (532056349441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 859541451 + ... + 859542069.

It is an arithmetic number, because the mean of its divisors is an integer number (1140552000).

Almost surely, 2^532056349440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532056349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313915904000).

532056349440 is an abundant number, since it is smaller than the sum of its proper divisors (2095775458560).

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

532056349440 is a wasteful number, since it uses less digits than its factorization.

532056349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 532056349440 its reverse (44943650235), we get a palindrome (576999999675).

The spelling of 532056349440 in words is "five hundred thirty-two billion, fifty-six million, three hundred forty-nine thousand, four hundred forty".