33430121014240 has 96 divisors (see below), whose sum is σ = 83629101356640. Its totient is φ = 12584759476224.

The previous prime is 33430121014183. The next prime is 33430121014249. The reversal of 33430121014240 is 4241012103433.

It is a happy number.

It is a super-2 number, since 2×33430121014240² (a number of 28 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 33430121014199 and 33430121014208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33430121014249) 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, 50094604 + ... + 50757556.

It is an arithmetic number, because the mean of its divisors is an integer number (871136472465).

Almost surely, 2^{33430121014240} is an apocalyptic number.

It is an amenable number.

33430121014240 is an abundant number, since it is smaller than the sum of its proper divisors (50198980342400).

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

33430121014240 is a wasteful number, since it uses less digits than its factorization.

33430121014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681524 (or 681516 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 33430121014240 its reverse (4241012103433), we get a palindrome (37671133117673).

The spelling of 33430121014240 in words is "thirty-three trillion, four hundred thirty billion, one hundred twenty-one million, fourteen thousand, two hundred forty".