33126013440 has 240 divisors, whose sum is σ = 123550795368. Its totient is φ = 8154021888.

The previous prime is 33126013397. The next prime is 33126013441. The reversal of 33126013440 is 4431062133.

33126013440 is a `hidden beast` number, since 3 + 3 + 12 + 601 + 3 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23992770816 + 9133242624 = 154896^2 + 95568^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (33126013441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244222 + ... + 354818.

Almost surely, 2^33126013440 is an apocalyptic number.

33126013440 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 33126013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61775397684).

33126013440 is an abundant number, since it is smaller than the sum of its proper divisors (90424781928).

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

33126013440 is a wasteful number, since it uses less digits than its factorization.

33126013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110639 (or 110620 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33126013440 its reverse (4431062133), we get a palindrome (37557075573).

It can be divided in two parts, 3312601 and 3440, that added together give a square (3316041 = 1821²).

The spelling of 33126013440 in words is "thirty-three billion, one hundred twenty-six million, thirteen thousand, four hundred forty".