477433440000 has 1800 divisors, whose sum is σ = 2065267190448. Its totient is φ = 108380160000.

The previous prime is 477433439999. The next prime is 477433440007. The reversal of 477433440000 is 44334774.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477433440007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2423519902 + ... + 2423520098.

Almost surely, 2^477433440000 is an apocalyptic number.

477433440000 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 477433440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032633595224).

477433440000 is an abundant number, since it is smaller than the sum of its proper divisors (1587833750448).

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

477433440000 is a wasteful number, since it uses less digits than its factorization.

477433440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

Adding to 477433440000 its reverse (44334774), we get a palindrome (477477774774).

The spelling of 477433440000 in words is "four hundred seventy-seven billion, four hundred thirty-three million, four hundred forty thousand".