33406121476 has 96 divisors (see below), whose sum is σ = 75001240832. Its totient is φ = 12666170880.

The previous prime is 33406121429. The next prime is 33406121503. The reversal of 33406121476 is 67412160433.

It is a super-2 number, since 2×33406121476² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883846 + ... + 920866.

Almost surely, 2^33406121476 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 33406121476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37500620416).

33406121476 is an abundant number, since it is smaller than the sum of its proper divisors (41595119356).

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

33406121476 is a wasteful number, since it uses less digits than its factorization.

33406121476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37149 (or 37147 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 33406121476 in words is "thirty-three billion, four hundred six million, one hundred twenty-one thousand, four hundred seventy-six".