4087126640 has 80 divisors (see below), whose sum is σ = 9605920896. Its totient is φ = 1617158400.

The previous prime is 4087126639. The next prime is 4087126643. The reversal of 4087126640 is 466217804.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4087126594 and 4087126603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087126643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5983739 + ... + 5984421.

Almost surely, 2^4087126640 is an apocalyptic number.

4087126640 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 4087126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802960448).

4087126640 is an abundant number, since it is smaller than the sum of its proper divisors (5518794256).

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

4087126640 is a wasteful number, since it uses less digits than its factorization.

4087126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 4087126640 is about 63930.6392897803. The cubic root of 4087126640 is about 1598.8437792556.

The spelling of 4087126640 in words is "four billion, eighty-seven million, one hundred twenty-six thousand, six hundred forty".