4088981376 has 192 divisors, whose sum is σ = 12085323120. Its totient is φ = 1326514176.

The previous prime is 4088981357. The next prime is 4088981381. The reversal of 4088981376 is 6731898804.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11783635 + ... + 11783981.

Almost surely, 2^4088981376 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 4088981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042661560).

4088981376 is an abundant number, since it is smaller than the sum of its proper divisors (7996341744).

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

4088981376 is a wasteful number, since it uses less digits than its factorization.

4088981376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 4088981376 is about 63945.1434903387. The cubic root of 4088981376 is about 1599.0855941800.

It can be divided in two parts, 40889 and 81376, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 4088981376 in words is "four billion, eighty-eight million, nine hundred eighty-one thousand, three hundred seventy-six".