33400404332240 has 120 divisors (see below), whose sum is σ = 85366600578504. Its totient is φ = 12144286105600.

The previous prime is 33400404332159. The next prime is 33400404332249. The reversal of 33400404332240 is 4223340400433.

It can be written as a sum of positive squares in 4 ways, for example, as 19406879544976 + 13993524787264 = 4405324^2 + 3740792^2 .

It is a super-2 number, since 2×33400404332240² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33400404332197 and 33400404332206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33400404332249) 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, 91516520 + ... + 91880760.

Almost surely, 2^{33400404332240} 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 33400404332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42683300289252).

33400404332240 is an abundant number, since it is smaller than the sum of its proper divisors (51966196246264).

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

33400404332240 is a wasteful number, since it uses less digits than its factorization.

33400404332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373749 (or 373732 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 33400404332240 its reverse (4223340400433), we get a palindrome (37623744732673).

The spelling of 33400404332240 in words is "thirty-three trillion, four hundred billion, four hundred four million, three hundred thirty-two thousand, two hundred forty".