33355040000 has 90 divisors (see below), whose sum is σ = 83198500770. Its totient is φ = 13341952000.

The previous prime is 33355039987. The next prime is 33355040029. The reversal of 33355040000 is 4055333.

It can be written as a sum of positive squares in 5 ways, for example, as 4297064704 + 29057975296 = 65552^2 + 170464^2 .

It is a super-2 number, since 2×33355040000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 55766 + ... + 264234.

Almost surely, 2^33355040000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33355040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41599250385).

33355040000 is an abundant number, since it is smaller than the sum of its proper divisors (49843460770).

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

33355040000 is an frugal number, since it uses more digits than its factorization.

33355040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208505 (or 208476 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 23.

Adding to 33355040000 its reverse (4055333), we get a palindrome (33359095333).

The spelling of 33355040000 in words is "thirty-three billion, three hundred fifty-five million, forty thousand".