4243941292800 has 864 divisors, whose sum is σ = 16638372576000. Its totient is φ = 941049446400.

The previous prime is 4243941292753. The next prime is 4243941292807. The reversal of 4243941292800 is 82921493424.

It is a super-2 number, since 2×4243941292800² (a number of 26 digits) contains 22 as substring.

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 4243941292800.

It is not an unprimeable number, because it can be changed into a prime (4243941292807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116352966 + ... + 116389434.

Almost surely, 2^{4243941292800} is an apocalyptic number.

4243941292800 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 4243941292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319186288000).

4243941292800 is an abundant number, since it is smaller than the sum of its proper divisors (12394431283200).

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

4243941292800 is a wasteful number, since it uses less digits than its factorization.

4243941292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36557 (or 36538 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 4243941292800 in words is "four trillion, two hundred forty-three billion, nine hundred forty-one million, two hundred ninety-two thousand, eight hundred".