4078556160 has 264 divisors, whose sum is σ = 15177604320. Its totient is φ = 932069376.

The previous prime is 4078556159. The next prime is 4078556161. The reversal of 4078556160 is 616558704.

It is an interprime number because it is at equal distance from previous prime (4078556159) and next prime (4078556161).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078556161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749931 + ... + 755349.

Almost surely, 2^4078556160 is an apocalyptic number.

4078556160 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 4078556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588802160).

4078556160 is an abundant number, since it is smaller than the sum of its proper divisors (11099048160).

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

4078556160 is a wasteful number, since it uses less digits than its factorization.

4078556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 4078556160 is about 63863.5745945997. The cubic root of 4078556160 is about 1597.7254346693.

The spelling of 4078556160 in words is "four billion, seventy-eight million, five hundred fifty-six thousand, one hundred sixty".