38000414144 has 168 divisors, whose sum is σ = 97319957760. Its totient is φ = 14553638400.

The previous prime is 38000414131. The next prime is 38000414173. The reversal of 38000414144 is 44141400083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025929 + ... + 2044599.

Almost surely, 2^38000414144 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 38000414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48659978880).

38000414144 is an abundant number, since it is smaller than the sum of its proper divisors (59319543616).

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

38000414144 is a wasteful number, since it uses less digits than its factorization.

38000414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18767 (or 18750 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 38000414144 in words is "thirty-eight billion, four hundred fourteen thousand, one hundred forty-four".