4674443743200 has 576 divisors, whose sum is σ = 19011238202880. Its totient is φ = 969188352000.

The previous prime is 4674443743183. The next prime is 4674443743237. The reversal of 4674443743200 is 23473444764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4674443743200.

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, 85165366 + ... + 85220234.

It is an arithmetic number, because the mean of its divisors is an integer number (33005621880).

Almost surely, 2^{4674443743200} is an apocalyptic number.

4674443743200 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 4674443743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505619101440).

4674443743200 is an abundant number, since it is smaller than the sum of its proper divisors (14336794459680).

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

4674443743200 is a wasteful number, since it uses less digits than its factorization.

4674443743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55371 (or 55358 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 48.

The spelling of 4674443743200 in words is "four trillion, six hundred seventy-four billion, four hundred forty-three million, seven hundred forty-three thousand, two hundred".