19979112040000 has 105 divisors (see below), whose sum is σ = 49543921477237. Its totient is φ = 7991287232000.

The previous prime is 19979112039961. The next prime is 19979112040003. The reversal of 19979112040000 is 4021197991.

The square root of 19979112040000 is 4469800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 19664400015936 + 314712024064 = 4434456^2 + 560992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19979112040003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 893948826 + ... + 893971174.

Almost surely, 2^{19979112040000} is an apocalyptic number.

19979112040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19979112040000 is the 4469800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19979112040000

19979112040000 is an abundant number, since it is smaller than the sum of its proper divisors (29564809437237).

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

19979112040000 is an frugal number, since it uses more digits than its factorization.

19979112040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44730 (or 22356 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 43.

The spelling of 19979112040000 in words is "nineteen trillion, nine hundred seventy-nine billion, one hundred twelve million, forty thousand".