33408472290408 has 192 divisors, whose sum is σ = 96636668768640. Its totient is φ = 10401486746112.

The previous prime is 33408472290377. The next prime is 33408472290467. The reversal of 33408472290408 is 80409227480433.

33408472290408 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 8 + 4 + 7 + 229 + 0 + 408 = 666.

It is a super-2 number, since 2×33408472290408² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276012910 + ... + 276133922.

It is an arithmetic number, because the mean of its divisors is an integer number (503315983170).

Almost surely, 2^{33408472290408} 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 33408472290408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48318334384320).

33408472290408 is an abundant number, since it is smaller than the sum of its proper divisors (63228196478232).

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

33408472290408 is a wasteful number, since it uses less digits than its factorization.

33408472290408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124968 (or 124961 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 33408472290408 in words is "thirty-three trillion, four hundred eight billion, four hundred seventy-two million, two hundred ninety thousand, four hundred eight".