4139208889920 has 672 divisors, whose sum is σ = 16169910906240. Its totient is φ = 1001598566400.

The previous prime is 4139208889913. The next prime is 4139208889951. The reversal of 4139208889920 is 299888029314.

It is a happy number.

4139208889920 is a `hidden beast` number, since 4 + 1 + 392 + 0 + 88 + 89 + 92 + 0 = 666.

It is a super-3 number, since 3×4139208889920³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59607220 + ... + 59676620.

It is an arithmetic number, because the mean of its divisors is an integer number (24062367420).

Almost surely, 2^{4139208889920} is an apocalyptic number.

4139208889920 is a gapful number since it is divisible by the number (40) 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 4139208889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084955453120).

4139208889920 is an abundant number, since it is smaller than the sum of its proper divisors (12030702016320).

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

4139208889920 is a wasteful number, since it uses less digits than its factorization.

4139208889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69505 (or 69483 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 4139208889920 in words is "four trillion, one hundred thirty-nine billion, two hundred eight million, eight hundred eighty-nine thousand, nine hundred twenty".