42763723200000 has 2880 divisors, whose sum is σ = 177800725650240. Its totient is φ = 10264320000000.

The previous prime is 42763723199969. The next prime is 42763723200007. The reversal of 42763723200000 is 232736724.

42763723200000 is a `hidden beast` number, since 427 + 6 + 3 + 7 + 23 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42763723200007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 423403199950 + ... + 423403200050.

It is an arithmetic number, because the mean of its divisors is an integer number (61736363073).

Almost surely, 2^{42763723200000} is an apocalyptic number.

42763723200000 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 42763723200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88900362825120).

42763723200000 is an abundant number, since it is smaller than the sum of its proper divisors (135037002450240).

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

42763723200000 is an frugal number, since it uses more digits than its factorization.

42763723200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Adding to 42763723200000 its reverse (232736724), we get a palindrome (42763955936724).

The spelling of 42763723200000 in words is "forty-two trillion, seven hundred sixty-three billion, seven hundred twenty-three million, two hundred thousand".