4139098704000 has 1408 divisors, whose sum is σ = 16672889404080. Its totient is φ = 1015831756800.

The previous prime is 4139098703983. The next prime is 4139098704011. The reversal of 4139098704000 is 4078909314.

4139098704000 is a `hidden beast` number, since 4 + 1 + 3 + 90 + 98 + 70 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75133002816 + 4063965701184 = 274104^2 + 2015928^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 12282191832 + ... + 12282192168.

Almost surely, 2^{4139098704000} is an apocalyptic number.

4139098704000 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 4139098704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8336444702040).

4139098704000 is an abundant number, since it is smaller than the sum of its proper divisors (12533790700080).

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

4139098704000 is an frugal number, since it uses more digits than its factorization.

4139098704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4139098704000 in words is "four trillion, one hundred thirty-nine billion, ninety-eight million, seven hundred four thousand".