477118943534400 has 672 divisors, whose sum is σ = 1703480484937728. Its totient is φ = 116559853977600.

The previous prime is 477118943534381. The next prime is 477118943534449. The reversal of 477118943534400 is 4435349811774.

It is a super-4 number, since 4×477118943534400⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331254189 + ... + 332691411.

It is an arithmetic number, because the mean of its divisors is an integer number (2534941197824).

Almost surely, 2^{477118943534400} is an apocalyptic number.

477118943534400 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 477118943534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851740242468864).

477118943534400 is an abundant number, since it is smaller than the sum of its proper divisors (1226361541403328).

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

477118943534400 is a wasteful number, since it uses less digits than its factorization.

477118943534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437399 (or 1437384 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 477118943534400 in words is "four hundred seventy-seven trillion, one hundred eighteen billion, nine hundred forty-three million, five hundred thirty-four thousand, four hundred".