33420511300 has 72 divisors (see below), whose sum is σ = 79423979040. Its totient is φ = 12105523200.

The previous prime is 33420511283. The next prime is 33420511337. The reversal of 33420511300 is 311502433.

It is a super-4 number, since 4×33420511300⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223591 + ... + 341809.

It is an arithmetic number, because the mean of its divisors is an integer number (1103110820).

Almost surely, 2^33420511300 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 33420511300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39711989520).

33420511300 is an abundant number, since it is smaller than the sum of its proper divisors (46003467740).

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

33420511300 is a wasteful number, since it uses less digits than its factorization.

33420511300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118501 (or 118494 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 33420511300 in words is "thirty-three billion, four hundred twenty million, five hundred eleven thousand, three hundred".