33405604542 has 48 divisors (see below), whose sum is σ = 74972898000. Its totient is φ = 10737119232.

The previous prime is 33405604541. The next prime is 33405604553. The reversal of 33405604542 is 24540650433.

33405604542 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 5 + 604 + 5 + 42 = 666.

It is a super-2 number, since 2×33405604542² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33405604497 and 33405604506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33405604541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359809 + ... + 443027.

It is an arithmetic number, because the mean of its divisors is an integer number (1561935375).

Almost surely, 2^33405604542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33405604542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37486449000).

33405604542 is an abundant number, since it is smaller than the sum of its proper divisors (41567293458).

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

33405604542 is a wasteful number, since it uses less digits than its factorization.

33405604542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84025 (or 84022 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 33405604542 in words is "thirty-three billion, four hundred five million, six hundred four thousand, five hundred forty-two".