32401440016 has 45 divisors (see below), whose sum is σ = 69020557879. Its totient is φ = 14724327200.

The previous prime is 32401440013. The next prime is 32401440017. The reversal of 32401440016 is 61004410423.

The square root of 32401440016 is 180004.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×32401440016² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32401440011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7918131 + ... + 7922221.

Almost surely, 2^32401440016 is an apocalyptic number.

32401440016 is the 180004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32401440016

32401440016 is an abundant number, since it is smaller than the sum of its proper divisors (36619117863).

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

32401440016 is an frugal number, since it uses more digits than its factorization.

32401440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Multiplying 32401440016 by its sum of digits (25), we get a square (810036000400 = 900020²).

Multiplying 32401440016 by its product of nonzero digits (2304), we get a square (74652917796864 = 8640192²).

Adding to 32401440016 its reverse (61004410423), we get a palindrome (93405850439).

The spelling of 32401440016 in words is "thirty-two billion, four hundred one million, four hundred forty thousand, sixteen".