4188000961 has 8 divisors (see below), whose sum is σ = 4217783400. Its totient is φ = 4158241152.

The previous prime is 4188000913. The next prime is 4188000997. The reversal of 4188000961 is 1690008814.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 432640000 + 3755360961 = 20800^2 + 61281^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4188000961 - 2⁷ = 4188000833 is a prime.

It is a pancake number, because a pancake can be divided into 4188000961 parts by 91520 straight cuts.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4188000961.

It is not an unprimeable number, because it can be changed into a prime (4188003961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567451 + ... + 574783.

It is an arithmetic number, because the mean of its divisors is an integer number (527222925).

Almost surely, 2^4188000961 is an apocalyptic number.

It is an amenable number.

4188000961 is a deficient number, since it is larger than the sum of its proper divisors (29782439).

4188000961 is a wasteful number, since it uses less digits than its factorization.

4188000961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11315.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 4188000961 is about 64714.7661743439. The cubic root of 4188000961 is about 1611.8907048503.

The spelling of 4188000961 in words is "four billion, one hundred eighty-eight million, nine hundred sixty-one", and thus it is an aban number.