8007401088 has 48 divisors (see below), whose sum is σ = 23042134050. Its totient is φ = 2669133312.

The previous prime is 8007401041. The next prime is 8007401159. The reversal of 8007401088 is 8801047008.

It can be written as a sum of positive squares in only one way, i.e., 7068101184 + 939299904 = 84072^2 + 30648^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 3474283 + ... + 3476586.

Almost surely, 2^8007401088 is an apocalyptic number.

It is an amenable number.

8007401088 is an abundant number, since it is smaller than the sum of its proper divisors (15034732962).

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

8007401088 is a wasteful number, since it uses less digits than its factorization.

8007401088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950889 (or 6950874 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8007401088 is about 89484.0828751125. The cubic root of 8007401088 is about 2000.6165672362.

The spelling of 8007401088 in words is "eight billion, seven million, four hundred one thousand, eighty-eight".