33000153440 has 96 divisors (see below), whose sum is σ = 81454657536. Its totient is φ = 12610301440.

The previous prime is 33000153337. The next prime is 33000153457. The reversal of 33000153440 is 4435100033.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 15 ways as a sum of consecutive naturals, for example, 3170645 + ... + 3181035.

It is an arithmetic number, because the mean of its divisors is an integer number (848486016).

Almost surely, 2^33000153440 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 33000153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40727328768).

33000153440 is an abundant number, since it is smaller than the sum of its proper divisors (48454504096).

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

33000153440 is a wasteful number, since it uses less digits than its factorization.

33000153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11292 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 33000153440 its reverse (4435100033), we get a palindrome (37435253473).

The spelling of 33000153440 in words is "thirty-three billion, one hundred fifty-three thousand, four hundred forty".