3233204501040 has 240 divisors, whose sum is σ = 10911036086496. Its totient is φ = 857998848000.

The previous prime is 3233204501027. The next prime is 3233204501081. The reversal of 3233204501040 is 401054023323.

3233204501040 is a `hidden beast` number, since 323 + 320 + 4 + 5 + 0 + 10 + 4 + 0 = 666.

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

It is a super-2 number, since 2×3233204501040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3233204500995 and 3233204501013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161239015 + ... + 161259065.

Almost surely, 2^{3233204501040} is an apocalyptic number.

3233204501040 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 3233204501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455518043248).

3233204501040 is an abundant number, since it is smaller than the sum of its proper divisors (7677831585456).

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

3233204501040 is a wasteful number, since it uses less digits than its factorization.

3233204501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21148 (or 21139 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 3233204501040 its reverse (401054023323), we get a palindrome (3634258524363).

The spelling of 3233204501040 in words is "three trillion, two hundred thirty-three billion, two hundred four million, five hundred one thousand, forty".