33401313040 has 80 divisors (see below), whose sum is σ = 82350608688. Its totient is φ = 12555583488.

The previous prime is 33401313037. The next prime is 33401313047. The reversal of 33401313040 is 4031310433.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3136448016 + 30264865024 = 56004^2 + 173968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33401313040² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33401313047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897034 + ... + 933526.

Almost surely, 2^33401313040 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 33401313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41175304344).

33401313040 is an abundant number, since it is smaller than the sum of its proper divisors (48949295648).

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

33401313040 is a wasteful number, since it uses less digits than its factorization.

33401313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37196 (or 37190 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33401313040 its reverse (4031310433), we get a palindrome (37432623473).

The spelling of 33401313040 in words is "thirty-three billion, four hundred one million, three hundred thirteen thousand, forty".