38982565440 has 1008 divisors, whose sum is σ = 174415655232. Its totient is φ = 8214441984.

The previous prime is 38982565421. The next prime is 38982565451. The reversal of 38982565440 is 4456528983.

38982565440 is a `hidden beast` number, since 3 + 8 + 98 + 2 + 5 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49532727 + ... + 49533513.

It is an arithmetic number, because the mean of its divisors is an integer number (173031404).

Almost surely, 2^38982565440 is an apocalyptic number.

38982565440 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 38982565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87207827616).

38982565440 is an abundant number, since it is smaller than the sum of its proper divisors (135433089792).

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

38982565440 is a wasteful number, since it uses less digits than its factorization.

38982565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 38982565440 in words is "thirty-eight billion, nine hundred eighty-two million, five hundred sixty-five thousand, four hundred forty".