32104435440 has 240 divisors, whose sum is σ = 126297809280. Its totient is φ = 6671024640.

The previous prime is 32104435399. The next prime is 32104435457. The reversal of 32104435440 is 4453440123.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×32104435440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32104435398 and 32104435407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5271 + ... + 253449.

It is an arithmetic number, because the mean of its divisors is an integer number (526240872).

Almost surely, 2^32104435440 is an apocalyptic number.

32104435440 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 32104435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63148904640).

32104435440 is an abundant number, since it is smaller than the sum of its proper divisors (94193373840).

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

32104435440 is a wasteful number, since it uses less digits than its factorization.

32104435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248220 (or 248207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 32104435440 its reverse (4453440123), we get a palindrome (36557875563).

The spelling of 32104435440 in words is "thirty-two billion, one hundred four million, four hundred thirty-five thousand, four hundred forty".