38055586333440 has 576 divisors, whose sum is σ = 133113112215552. Its totient is φ = 9208553472000.

The previous prime is 38055586333417. The next prime is 38055586333447. The reversal of 38055586333440 is 4433368555083.

It is not an unprimeable number, because it can be changed into a prime (38055586333447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8182235115 + ... + 8182239765.

It is an arithmetic number, because the mean of its divisors is an integer number (231099153152).

Almost surely, 2^{38055586333440} is an apocalyptic number.

38055586333440 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 38055586333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66556556107776).

38055586333440 is an abundant number, since it is smaller than the sum of its proper divisors (95057525882112).

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

38055586333440 is a wasteful number, since it uses less digits than its factorization.

38055586333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 57.

The spelling of 38055586333440 in words is "thirty-eight trillion, fifty-five billion, five hundred eighty-six million, three hundred thirty-three thousand, four hundred forty".