38219127840000 has 1080 divisors, whose sum is σ = 142776098304840. Its totient is φ = 9817694208000.

The previous prime is 38219127839989. The next prime is 38219127840007. The reversal of 38219127840000 is 4872191283.

It is a happy number.

38219127840000 is a `hidden beast` number, since 3 + 8 + 219 + 1 + 27 + 8 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 38178755778816 + 40372061184 = 6178896^2 + 200928^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38219127840007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25598879254 + ... + 25598880746.

It is an arithmetic number, because the mean of its divisors is an integer number (132200091023).

Almost surely, 2^{38219127840000} is an apocalyptic number.

38219127840000 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 38219127840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71388049152420).

38219127840000 is an abundant number, since it is smaller than the sum of its proper divisors (104556970464840).

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

38219127840000 is a wasteful number, since it uses less digits than its factorization.

38219127840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 38219127840000 in words is "thirty-eight trillion, two hundred nineteen billion, one hundred twenty-seven million, eight hundred forty thousand".