33832055040 has 288 divisors, whose sum is σ = 124133264640. Its totient is φ = 7692582912.

The previous prime is 33832055029. The next prime is 33832055041. The reversal of 33832055040 is 4055023833.

It is a super-2 number, since 2×33832055040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33832054992 and 33832055010.

It is not an unprimeable number, because it can be changed into a prime (33832055041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5292166 + ... + 5298554.

It is an arithmetic number, because the mean of its divisors is an integer number (431018280).

Almost surely, 2^33832055040 is an apocalyptic number.

33832055040 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 33832055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62066632320).

33832055040 is an abundant number, since it is smaller than the sum of its proper divisors (90301209600).

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

33832055040 is a wasteful number, since it uses less digits than its factorization.

33832055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 33832055040 its reverse (4055023833), we get a palindrome (37887078873).

The spelling of 33832055040 in words is "thirty-three billion, eight hundred thirty-two million, fifty-five thousand, forty".