33541412000 has 96 divisors (see below), whose sum is σ = 82561686480. Its totient is φ = 13392076800.

The previous prime is 33541411997. The next prime is 33541412033. The reversal of 33541412000 is 21414533.

It can be written as a sum of positive squares in 8 ways, for example, as 1194670096 + 32346741904 = 34564^2 + 179852^2 .

It is a super-2 number, since 2×33541412000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2268632 + ... + 2283368.

Almost surely, 2^33541412000 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 33541412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41280843240).

33541412000 is an abundant number, since it is smaller than the sum of its proper divisors (49020274480).

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

33541412000 is a wasteful number, since it uses less digits than its factorization.

33541412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331 (or 15313 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 33541412000 its reverse (21414533), we get a palindrome (33562826533).

The spelling of 33541412000 in words is "thirty-three billion, five hundred forty-one million, four hundred twelve thousand".