4777943040 has 336 divisors, whose sum is σ = 17854455528. Its totient is φ = 1174929408.

The previous prime is 4777943029. The next prime is 4777943063. The reversal of 4777943040 is 403497774.

It can be written as a sum of positive squares in 4 ways, for example, as 3845984256 + 931958784 = 62016^2 + 30528^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4791822 + ... + 4792818.

Almost surely, 2^4777943040 is an apocalyptic number.

4777943040 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 4777943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927227764).

4777943040 is an abundant number, since it is smaller than the sum of its proper divisors (13076512488).

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

4777943040 is a wasteful number, since it uses less digits than its factorization.

4777943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 4777943040 is about 69122.6666152283. Note that the first 4 decimals coincide. The cubic root of 4777943040 is about 1684.2775348778.

The spelling of 4777943040 in words is "four billion, seven hundred seventy-seven million, nine hundred forty-three thousand, forty".