38538466727040 has 1344 divisors, whose sum is σ = 166229472267000. Its totient is φ = 8504894619648.

The previous prime is 38538466727003. The next prime is 38538466727041. The reversal of 38538466727040 is 4072766483583.

38538466727040 is a `hidden beast` number, since 3 + 8 + 5 + 38 + 466 + 72 + 70 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37628213345856 + 910253381184 = 6134184^2 + 954072^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38538466727041) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 662952696 + ... + 663010824.

Almost surely, 2^{38538466727040} is an apocalyptic number.

38538466727040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38538466727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83114736133500).

38538466727040 is an abundant number, since it is smaller than the sum of its proper divisors (127691005539960).

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

38538466727040 is an equidigital number, since it uses as much as digits as its factorization.

38538466727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58209 (or 58175 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 38538466727040 in words is "thirty-eight trillion, five hundred thirty-eight billion, four hundred sixty-six million, seven hundred twenty-seven thousand, forty".