4042408032 has 144 divisors (see below), whose sum is σ = 12838709520. Its totient is φ = 1243786752.

The previous prime is 4042408031. The next prime is 4042408043. The reversal of 4042408032 is 2308042404.

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 2×4042408032² = 32682125394356226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4042407987 and 4042408005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042408031) 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, 81094 + ... + 121082.

It is an arithmetic number, because the mean of its divisors is an integer number (89157705).

Almost surely, 2^4042408032 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 4042408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419354760).

4042408032 is an abundant number, since it is smaller than the sum of its proper divisors (8796301488).

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

4042408032 is a wasteful number, since it uses less digits than its factorization.

4042408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40027 (or 40007 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4042408032 is about 63579.9341931084. The cubic root of 4042408032 is about 1592.9912221419.

The spelling of 4042408032 in words is "four billion, forty-two million, four hundred eight thousand, thirty-two".