4676228918400 has 1152 divisors, whose sum is σ = 17573247561600. Its totient is φ = 1090297528320.

The previous prime is 4676228918303. The next prime is 4676228918407. The reversal of 4676228918400 is 48198226764.

It is not an unprimeable number, because it can be changed into a prime (4676228918407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4216617046 + ... + 4216618154.

It is an arithmetic number, because the mean of its divisors is an integer number (15254555175).

Almost surely, 2^{4676228918400} is an apocalyptic number.

4676228918400 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 4676228918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786623780800).

4676228918400 is an abundant number, since it is smaller than the sum of its proper divisors (12897018643200).

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

4676228918400 is a wasteful number, since it uses less digits than its factorization.

4676228918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 4676228918400 in words is "four trillion, six hundred seventy-six billion, two hundred twenty-eight million, nine hundred eighteen thousand, four hundred".