38401125661000 has 128 divisors (see below), whose sum is σ = 92056757476320. Its totient is φ = 14984755200000.

The previous prime is 38401125660917. The next prime is 38401125661009. The reversal of 38401125661000 is 16652110483.

It is a happy number.

38401125661000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 4824269602084 + 33576856058916 = 2196422^2 + 5794554^2 .

It is not an unprimeable number, because it can be changed into a prime (38401125661009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860198680 + ... + 860243320.

Almost surely, 2^{38401125661000} 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 38401125661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46028378738160).

38401125661000 is an abundant number, since it is smaller than the sum of its proper divisors (53655631815320).

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

38401125661000 is a wasteful number, since it uses less digits than its factorization.

38401125661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65684 (or 65670 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 38401125661000 its reverse (16652110483), we get a palindrome (38417777771483).

The spelling of 38401125661000 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-five million, six hundred sixty-one thousand".