4013133040 has 80 divisors (see below), whose sum is σ = 10734312960. Its totient is φ = 1366790400.

The previous prime is 4013133037. The next prime is 4013133053. The reversal of 4013133040 is 403313104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4013133040² = 32210473593479283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013132999 and 4013133017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60831 + ... + 108289.

It is an arithmetic number, because the mean of its divisors is an integer number (134178912).

Almost surely, 2^4013133040 is an apocalyptic number.

4013133040 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 4013133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367156480).

4013133040 is an abundant number, since it is smaller than the sum of its proper divisors (6721179920).

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

4013133040 is a wasteful number, since it uses less digits than its factorization.

4013133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47630 (or 47624 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4013133040 is about 63349.2939187170. The cubic root of 4013133040 is about 1589.1364375702.

Adding to 4013133040 its reverse (403313104), we get a palindrome (4416446144).

The spelling of 4013133040 in words is "four billion, thirteen million, one hundred thirty-three thousand, forty".