4013531040 has 96 divisors (see below), whose sum is σ = 12718581120. Its totient is φ = 1063844864.

The previous prime is 4013531017. The next prime is 4013531057. The reversal of 4013531040 is 401353104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4013531040³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4013530998 and 4013531016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55126 + ... + 105194.

It is an arithmetic number, because the mean of its divisors is an integer number (132485220).

Almost surely, 2^4013531040 is an apocalyptic number.

4013531040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359290560).

4013531040 is an abundant number, since it is smaller than the sum of its proper divisors (8705050080).

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

4013531040 is a wasteful number, since it uses less digits than its factorization.

4013531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50254 (or 50246 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4013531040 is about 63352.4351544595. The cubic root of 4013531040 is about 1589.1889697098.

Adding to 4013531040 its reverse (401353104), we get a palindrome (4414884144).

The spelling of 4013531040 in words is "four billion, thirteen million, five hundred thirty-one thousand, forty".