33412240333440 has 160 divisors (see below), whose sum is σ = 119321143181460. Its totient is φ = 8909930741760.

The previous prime is 33412240333429. The next prime is 33412240333463. The reversal of 33412240333440 is 4433304221433.

33412240333440 is a `hidden beast` number, since 3 + 3 + 41 + 2 + 240 + 3 + 334 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33391108478016 + 21131855424 = 5778504^2 + 145368^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×33412240333440² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33412240333395 and 33412240333404.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 322211281 + ... + 322314960.

Almost surely, 2^{33412240333440} is an apocalyptic number.

33412240333440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33412240333440 is an abundant number, since it is smaller than the sum of its proper divisors (85908902848020).

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

33412240333440 is an equidigital number, since it uses as much as digits as its factorization.

33412240333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644526272 (or 644526251 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 33412240333440 its reverse (4433304221433), we get a palindrome (37845544554873).

The spelling of 33412240333440 in words is "thirty-three trillion, four hundred twelve billion, two hundred forty million, three hundred thirty-three thousand, four hundred forty".