33140460100 has 216 divisors, whose sum is σ = 83186175744. Its totient is φ = 11435424000.

The previous prime is 33140460097. The next prime is 33140460149. The reversal of 33140460100 is 106404133.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19879467 + ... + 19881133.

It is an arithmetic number, because the mean of its divisors is an integer number (385121184).

Almost surely, 2^33140460100 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 33140460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41593087872).

33140460100 is an abundant number, since it is smaller than the sum of its proper divisors (50045715644).

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

33140460100 is a wasteful number, since it uses less digits than its factorization.

33140460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 33140460100 its reverse (106404133), we get a palindrome (33246864233).

The spelling of 33140460100 in words is "thirty-three billion, one hundred forty million, four hundred sixty thousand, one hundred".