43488882126000 has 640 divisors, whose sum is σ = 162622785761280. Its totient is φ = 11088544896000.

The previous prime is 43488882125987. The next prime is 43488882126007. The reversal of 43488882126000 is 62128888434.

43488882126000 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 8 + 8 + 8 + 21 + 2 + 600 + 0 = 666.

It is a super-3 number, since 3×43488882126000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (43488882126007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4360657014 + ... + 4360666986.

It is an arithmetic number, because the mean of its divisors is an integer number (254098102752).

Almost surely, 2^{43488882126000} is an apocalyptic number.

43488882126000 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 43488882126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81311392880640).

43488882126000 is an abundant number, since it is smaller than the sum of its proper divisors (119133903635280).

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

43488882126000 is a wasteful number, since it uses less digits than its factorization.

43488882126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13539 (or 13517 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 43488882126000 in words is "forty-three trillion, four hundred eighty-eight billion, eight hundred eighty-two million, one hundred twenty-six thousand".