38126126400000 has 480 divisors, whose sum is σ = 128213462938176. Its totient is φ = 10066176000000.

The previous prime is 38126126399993. The next prime is 38126126400091. The reversal of 38126126400000 is 462162183.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484760679 + ... + 484839321.

Almost surely, 2^{38126126400000} is an apocalyptic number.

38126126400000 is a gapful number since it is divisible by the number (30) 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 38126126400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64106731469088).

38126126400000 is an abundant number, since it is smaller than the sum of its proper divisors (90087336538176).

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

38126126400000 is an frugal number, since it uses more digits than its factorization.

38126126400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78790 (or 78754 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 38126126400000 its reverse (462162183), we get a palindrome (38126588562183).

The spelling of 38126126400000 in words is "thirty-eight trillion, one hundred twenty-six billion, one hundred twenty-six million, four hundred thousand".