4013038080 has 240 divisors, whose sum is σ = 14415264864. Its totient is φ = 1069977600.

The previous prime is 4013038069. The next prime is 4013038087. The reversal of 4013038080 is 808303104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4013038080² = 32208949263060172800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4013038087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618855 + ... + 625305.

Almost surely, 2^4013038080 is an apocalyptic number.

4013038080 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 4013038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207632432).

4013038080 is an abundant number, since it is smaller than the sum of its proper divisors (10402226784).

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

4013038080 is an frugal number, since it uses more digits than its factorization.

4013038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4013038080 is about 63348.5444189525. The cubic root of 4013038080 is about 1589.1239032581.

It can be divided in two parts, 40130 and 38080, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 4013038080 in words is "four billion, thirteen million, thirty-eight thousand, eighty".