4007084088 has 64 divisors (see below), whose sum is σ = 11555861760. Its totient is φ = 1134176256.

The previous prime is 4007084047. The next prime is 4007084111. The reversal of 4007084088 is 8804807004.

4007084088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 93481 + ... + 129432.

It is an arithmetic number, because the mean of its divisors is an integer number (180560340).

Almost surely, 2^4007084088 is an apocalyptic number.

It is an amenable number.

4007084088 is an abundant number, since it is smaller than the sum of its proper divisors (7548777672).

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

4007084088 is a wasteful number, since it uses less digits than its factorization.

4007084088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223036 (or 223032 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 4007084088 is about 63301.5330620041. The cubic root of 4007084088 is about 1588.3376066945.

The spelling of 4007084088 in words is "four billion, seven million, eighty-four thousand, eighty-eight".