4777188433920 has 1792 divisors, whose sum is σ = 20195850977280. Its totient is φ = 1048773132288.

The previous prime is 4777188433859. The next prime is 4777188433921. The reversal of 4777188433920 is 293348817774.

4777188433920 is a `hidden beast` number, since 47 + 7 + 71 + 8 + 8 + 433 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4777188433921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37615656897 + ... + 37615657023.

Almost surely, 2^{4777188433920} is an apocalyptic number.

4777188433920 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 4777188433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10097925488640).

4777188433920 is an abundant number, since it is smaller than the sum of its proper divisors (15418662543360).

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

4777188433920 is a wasteful number, since it uses less digits than its factorization.

4777188433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 4777188433920 in words is "four trillion, seven hundred seventy-seven billion, one hundred eighty-eight million, four hundred thirty-three thousand, nine hundred twenty".