39897907200000 has 1296 divisors, whose sum is σ = 146954513684160. Its totient is φ = 10428088320000.

The previous prime is 39897907199977. The next prime is 39897907200031. The reversal of 39897907200000 is 270979893.

It is a super-3 number, since 3×39897907200000³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39897907200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 291225599932 + ... + 291225600068.

It is an arithmetic number, because the mean of its divisors is an integer number (113390828460).

Almost surely, 2^{39897907200000} is an apocalyptic number.

39897907200000 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 39897907200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73477256842080).

39897907200000 is an abundant number, since it is smaller than the sum of its proper divisors (107056606484160).

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

39897907200000 is an frugal number, since it uses more digits than its factorization.

39897907200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 39897907200000 in words is "thirty-nine trillion, eight hundred ninety-seven billion, nine hundred seven million, two hundred thousand".