38426100134016 has 384 divisors, whose sum is σ = 119589189264000. Its totient is φ = 10900055900160.

The previous prime is 38426100133997. The next prime is 38426100134029. The reversal of 38426100134016 is 61043100162483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1546869756 + ... + 1546894596.

It is an arithmetic number, because the mean of its divisors is an integer number (311430180375).

Almost surely, 2^{38426100134016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38426100134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59794594632000).

38426100134016 is an abundant number, since it is smaller than the sum of its proper divisors (81163089129984).

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

38426100134016 is a wasteful number, since it uses less digits than its factorization.

38426100134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25460 (or 25441 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

Adding to 38426100134016 its reverse (61043100162483), we get a palindrome (99469200296499).

The spelling of 38426100134016 in words is "thirty-eight trillion, four hundred twenty-six billion, one hundred million, one hundred thirty-four thousand, sixteen".