38754957194240 has 528 divisors, whose sum is σ = 115897172291712. Its totient is φ = 12366126710784.

The previous prime is 38754957194237. The next prime is 38754957194257. The reversal of 38754957194240 is 4249175945783.

38754957194240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 213408119 + ... + 213589641.

Almost surely, 2^{38754957194240} 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 38754957194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57948586145856).

38754957194240 is an abundant number, since it is smaller than the sum of its proper divisors (77142215097472).

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

38754957194240 is a wasteful number, since it uses less digits than its factorization.

38754957194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181622 (or 181597 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 68.

The spelling of 38754957194240 in words is "thirty-eight trillion, seven hundred fifty-four billion, nine hundred fifty-seven million, one hundred ninety-four thousand, two hundred forty".