32225035404240 has 1440 divisors, whose sum is σ = 134919525312000. Its totient is φ = 6852530700288.

The previous prime is 32225035404217. The next prime is 32225035404253. The reversal of 32225035404240 is 4240453052223.

32225035404240 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 5 + 0 + 3 + 5 + 404 + 240 = 666.

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 = 32225035404195 and 32225035404204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10432188616 + ... + 10432191704.

It is an arithmetic number, because the mean of its divisors is an integer number (93694114800).

Almost surely, 2^{32225035404240} is an apocalyptic number.

32225035404240 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 32225035404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67459762656000).

32225035404240 is an abundant number, since it is smaller than the sum of its proper divisors (102694489907760).

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

32225035404240 is a wasteful number, since it uses less digits than its factorization.

32225035404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 32225035404240 its reverse (4240453052223), we get a palindrome (36465488456463).

The spelling of 32225035404240 in words is "thirty-two trillion, two hundred twenty-five billion, thirty-five million, four hundred four thousand, two hundred forty".