4712394444800 has 468 divisors, whose sum is σ = 13648623458976. Its totient is φ = 1609084108800.

The previous prime is 4712394444773. The next prime is 4712394444809. The reversal of 4712394444800 is 84444932174.

It is a super-2 number, since 2×4712394444800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712394444809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1319627015 + ... + 1319630585.

Almost surely, 2^{4712394444800} is an apocalyptic number.

4712394444800 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 4712394444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824311729488).

4712394444800 is an abundant number, since it is smaller than the sum of its proper divisors (8936229014176).

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

4712394444800 is a wasteful number, since it uses less digits than its factorization.

4712394444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 4712394444800 in words is "four trillion, seven hundred twelve billion, three hundred ninety-four million, four hundred forty-four thousand, eight hundred".