4778317440 has 512 divisors, whose sum is σ = 18506880000. Its totient is φ = 1158119424.

The previous prime is 4778317417. The next prime is 4778317447. The reversal of 4778317440 is 447138774.

4778317440 is a `hidden beast` number, since 477 + 8 + 3 + 174 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778317447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19992841 + ... + 19993079.

It is an arithmetic number, because the mean of its divisors is an integer number (36146250).

Almost surely, 2^4778317440 is an apocalyptic number.

4778317440 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 4778317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440000).

4778317440 is an abundant number, since it is smaller than the sum of its proper divisors (13728562560).

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

4778317440 is a wasteful number, since it uses less digits than its factorization.

4778317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4778317440 is about 69125.3747910274. The cubic root of 4778317440 is about 1684.3215271030.

The spelling of 4778317440 in words is "four billion, seven hundred seventy-eight million, three hundred seventeen thousand, four hundred forty".