33642541416 has 64 divisors (see below), whose sum is σ = 95741637120. Its totient is φ = 9751459520.

The previous prime is 33642541397. The next prime is 33642541417. The reversal of 33642541416 is 61414524633.

It is a super-2 number, since 2×33642541416² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (33642541417) 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, 2764230 + ... + 2776373.

It is an arithmetic number, because the mean of its divisors is an integer number (1495963080).

Almost surely, 2^33642541416 is an apocalyptic number.

It is an amenable number.

33642541416 is an abundant number, since it is smaller than the sum of its proper divisors (62099095704).

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

33642541416 is a wasteful number, since it uses less digits than its factorization.

33642541416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540646 (or 5540642 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The spelling of 33642541416 in words is "thirty-three billion, six hundred forty-two million, five hundred forty-one thousand, four hundred sixteen".