32402442240 has 288 divisors, whose sum is σ = 128346603840. Its totient is φ = 7406125056.

The previous prime is 32402442227. The next prime is 32402442253. The reversal of 32402442240 is 4224420423.

32402442240 is a `hidden beast` number, since 32 + 402 + 4 + 4 + 224 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32402442227) and next prime (32402442253).

It is a tau number, because it is divible by the number of its divisors (288).

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, 620007 + ... + 670233.

It is an arithmetic number, because the mean of its divisors is an integer number (445647930).

Almost surely, 2^32402442240 is an apocalyptic number.

32402442240 is a gapful number since it is divisible by the number (30) 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 32402442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64173301920).

32402442240 is an abundant number, since it is smaller than the sum of its proper divisors (95944161600).

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

32402442240 is a wasteful number, since it uses less digits than its factorization.

32402442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50267 (or 50244 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 32402442240 its reverse (4224420423), we get a palindrome (36626862663).

The spelling of 32402442240 in words is "thirty-two billion, four hundred two million, four hundred forty-two thousand, two hundred forty".