4777574400000 has 924 divisors, whose sum is σ = 17906561637174. Its totient is φ = 1274019840000.

The previous prime is 4777574399989. The next prime is 4777574400007. The reversal of 4777574400000 is 44757774.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)⁴ ⋅ (2!)⁵.

4777574400000 is a `hidden beast` number, since 4 + 7 + 77 + 574 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6879707136 + 4770694692864 = 82944^2 + 2184192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4777574400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 955514879998 + ... + 955514880002.

Almost surely, 2^{4777574400000} is an apocalyptic number.

4777574400000 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 4777574400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8953280818587).

4777574400000 is an abundant number, since it is smaller than the sum of its proper divisors (13128987237174).

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

4777574400000 is an frugal number, since it uses more digits than its factorization.

4777574400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

The spelling of 4777574400000 in words is "four trillion, seven hundred seventy-seven billion, five hundred seventy-four million, four hundred thousand".