4078563840 has 800 divisors, whose sum is σ = 16844390640. Its totient is φ = 934281216.

The previous prime is 4078563817. The next prime is 4078563893. The reversal of 4078563840 is 483658704.

4078563840 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 5 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 940771584 + 3137792256 = 30672^2 + 56016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45826516 + ... + 45826604.

Almost surely, 2^4078563840 is an apocalyptic number.

4078563840 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 4078563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422195320).

4078563840 is an abundant number, since it is smaller than the sum of its proper divisors (12765826800).

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

4078563840 is a wasteful number, since it uses less digits than its factorization.

4078563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4078563840 is about 63863.6347227434. The cubic root of 4078563840 is about 1597.7264375179.

The spelling of 4078563840 in words is "four billion, seventy-eight million, five hundred sixty-three thousand, eight hundred forty".