39138283382400 has 768 divisors, whose sum is σ = 151294687948800. Its totient is φ = 9865284710400.

The previous prime is 39138283382377. The next prime is 39138283382411. The reversal of 39138283382400 is 428338283193.

39138283382400 is a `hidden beast` number, since 3 + 9 + 1 + 3 + 82 + 83 + 3 + 82 + 400 = 666.

It is a super-2 number, since 2×39138283382400² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 115001287 + ... + 115341113.

It is an arithmetic number, because the mean of its divisors is an integer number (196998291600).

Almost surely, 2^{39138283382400} is an apocalyptic number.

39138283382400 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 39138283382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75647343974400).

39138283382400 is an abundant number, since it is smaller than the sum of its proper divisors (112156404566400).

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

39138283382400 is a wasteful number, since it uses less digits than its factorization.

39138283382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339934 (or 339911 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 39138283382400 in words is "thirty-nine trillion, one hundred thirty-eight billion, two hundred eighty-three million, three hundred eighty-two thousand, four hundred".