32335420401040 has 40 divisors (see below), whose sum is σ = 75274181128440. Its totient is φ = 12917939567616.

The previous prime is 32335420400999. The next prime is 32335420401059. The reversal of 32335420401040 is 4010402453323.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11882884488336 + 20452535912704 = 3447156^2 + 4522448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 32335420400993 and 32335420401011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253507605 + ... + 253635124.

It is an arithmetic number, because the mean of its divisors is an integer number (1881854528211).

Almost surely, 2^{32335420401040} is an apocalyptic number.

It is an amenable number.

32335420401040 is an abundant number, since it is smaller than the sum of its proper divisors (42938760727400).

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

32335420401040 is a wasteful number, since it uses less digits than its factorization.

32335420401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507143539 (or 507143533 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 32335420401040 its reverse (4010402453323), we get a palindrome (36345822854363).

The spelling of 32335420401040 in words is "thirty-two trillion, three hundred thirty-five billion, four hundred twenty million, four hundred one thousand, forty".