4000542 has 64 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 990720.

The previous prime is 4000541. The next prime is 4000543. The reversal of 4000542 is 2450004.

4000542 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4000541) and next prime (4000543).

4000542 is a modest number, since divided by 542 gives 40 as remainder.

4000542 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9067 + ... + 9497.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 2^4000542 is an apocalyptic number.

4000542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

4000542 is an abundant number, since it is smaller than the sum of its proper divisors (6450402).

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

4000542 is a wasteful number, since it uses less digits than its factorization.

4000542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4000542 is about 2000.1354954102. The cubic root of 4000542 is about 158.7472746344.

Adding to 4000542 its reverse (2450004), we get a palindrome (6450546).

The spelling of 4000542 in words is "four million, five hundred forty-two", and thus it is an aban number.