38004140052144 has 400 divisors, whose sum is σ = 127617420319488. Its totient is φ = 10694620491264.

The previous prime is 38004140052143. The next prime is 38004140052157. The reversal of 38004140052144 is 44125004140083.

38004140052144 is a `hidden beast` number, since 3 + 80 + 0 + 4 + 14 + 0 + 0 + 521 + 44 = 666.

It is a super-2 number, since 2×38004140052144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38004140052099 and 38004140052108.

It is not an unprimeable number, because it can be changed into a prime (38004140052143) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 167818639 + ... + 168044945.

Almost surely, 2^{38004140052144} 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 38004140052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63808710159744).

38004140052144 is an abundant number, since it is smaller than the sum of its proper divisors (89613280267344).

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

38004140052144 is a wasteful number, since it uses less digits than its factorization.

38004140052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226614 (or 226599 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 38004140052144 in words is "thirty-eight trillion, four billion, one hundred forty million, fifty-two thousand, one hundred forty-four".