33402493800000 has 1344 divisors, whose sum is σ = 136452766464000. Its totient is φ = 7956403200000.

The previous prime is 33402493799959. The next prime is 33402493800043. The reversal of 33402493800000 is 839420433.

It is a happy number.

33402493800000 is a `hidden beast` number, since 3 + 34 + 0 + 249 + 380 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×33402493800000² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2176192326 + ... + 2176207674.

It is an arithmetic number, because the mean of its divisors is an integer number (101527356000).

Almost surely, 2^{33402493800000} is an apocalyptic number.

33402493800000 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 33402493800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68226383232000).

33402493800000 is an abundant number, since it is smaller than the sum of its proper divisors (103050272664000).

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

33402493800000 is a wasteful number, since it uses less digits than its factorization.

33402493800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 33402493800000 in words is "thirty-three trillion, four hundred two billion, four hundred ninety-three million, eight hundred thousand".