33140000460 has 144 divisors (see below), whose sum is σ = 108050949216. Its totient is φ = 7567193088.

The previous prime is 33140000459. The next prime is 33140000479. The reversal of 33140000460 is 6400004133.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 3208264 + ... + 3218576.

It is an arithmetic number, because the mean of its divisors is an integer number (750353814).

Almost surely, 2^33140000460 is an apocalyptic number.

33140000460 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 33140000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025474608).

33140000460 is an abundant number, since it is smaller than the sum of its proper divisors (74910948756).

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

33140000460 is a wasteful number, since it uses less digits than its factorization.

33140000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432 (or 11423 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 33140000460 its reverse (6400004133), we get a palindrome (39540004593).

The spelling of 33140000460 in words is "thirty-three billion, one hundred forty million, four hundred sixty", and thus it is an aban number.