33440434416 has 320 divisors, whose sum is σ = 103564800000. Its totient is φ = 10299218688.

The previous prime is 33440434393. The next prime is 33440434451. The reversal of 33440434416 is 61443404433.

It is a super-2 number, since 2×33440434416² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96369955 + ... + 96370301.

It is an arithmetic number, because the mean of its divisors is an integer number (323640000).

Almost surely, 2^33440434416 is an apocalyptic number.

33440434416 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 33440434416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51782400000).

33440434416 is an abundant number, since it is smaller than the sum of its proper divisors (70124365584).

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

33440434416 is a wasteful number, since it uses less digits than its factorization.

33440434416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 33440434416 its reverse (61443404433), we get a palindrome (94883838849).

It can be divided in two parts, 33440 and 434416, that added together give a square (467856 = 684²).

The spelling of 33440434416 in words is "thirty-three billion, four hundred forty million, four hundred thirty-four thousand, four hundred sixteen".