33441460416 has 1260 divisors, whose sum is σ = 134646268680. Its totient is φ = 8151736320.

The previous prime is 33441460411. The next prime is 33441460421. The reversal of 33441460416 is 61406414433.

33441460416 is a `hidden beast` number, since 3 + 3 + 4 + 41 + 4 + 604 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (33441460411) and next prime (33441460421).

It is a super-2 number, since 2×33441460416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33441460411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 815645356 + ... + 815645396.

It is an arithmetic number, because the mean of its divisors is an integer number (106862118).

Almost surely, 2^33441460416 is an apocalyptic number.

33441460416 is a gapful number since it is divisible by the number (36) 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 33441460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67323134340).

33441460416 is an abundant number, since it is smaller than the sum of its proper divisors (101204808264).

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

33441460416 is a wasteful number, since it uses less digits than its factorization.

33441460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 33441460416 its reverse (61406414433), we get a palindrome (94847874849).

The spelling of 33441460416 in words is "thirty-three billion, four hundred forty-one million, four hundred sixty thousand, four hundred sixteen".