32165213040 has 120 divisors (see below), whose sum is σ = 108069221520. Its totient is φ = 8573601792.

The previous prime is 32165213023. The next prime is 32165213057. The reversal of 32165213040 is 4031256123.

32165213040 is a `hidden beast` number, since 3 + 2 + 1 + 652 + 1 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32165213023) and next prime (32165213057).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×32165213040³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32165212995 and 32165213013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869919 + ... + 1887041.

It is an arithmetic number, because the mean of its divisors is an integer number (900576846).

Almost surely, 2^32165213040 is an apocalyptic number.

32165213040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32165213040 is an abundant number, since it is smaller than the sum of its proper divisors (75904008480).

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

32165213040 is a wasteful number, since it uses less digits than its factorization.

32165213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19751 (or 19742 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 32165213040 its reverse (4031256123), we get a palindrome (36196469163).

The spelling of 32165213040 in words is "thirty-two billion, one hundred sixty-five million, two hundred thirteen thousand, forty".