4008808408032 has 144 divisors (see below), whose sum is σ = 12074251709520. Its totient is φ = 1257289076736.

The previous prime is 4008808408021. The next prime is 4008808408037. The reversal of 4008808408032 is 2308048088004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4008808408032² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008808408037) 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, 16471743 + ... + 16713345.

It is an arithmetic number, because the mean of its divisors is an integer number (83848970205).

Almost surely, 2^{4008808408032} 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 4008808408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037125854760).

4008808408032 is an abundant number, since it is smaller than the sum of its proper divisors (8065443301488).

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

4008808408032 is a wasteful number, since it uses less digits than its factorization.

4008808408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245025 (or 245014 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 4008808408032 in words is "four trillion, eight billion, eight hundred eight million, four hundred eight thousand, thirty-two".