19414080000 has 1000 divisors, whose sum is σ = 83526787872. Its totient is φ = 4396032000.

The previous prime is 19414079987. The next prime is 19414080001. The reversal of 19414080000 is 8041491.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19414080001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 181439947 + ... + 181440053.

Almost surely, 2^19414080000 is an apocalyptic number.

19414080000 is a gapful number since it is divisible by the number (10) 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 19414080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41763393936).

19414080000 is an abundant number, since it is smaller than the sum of its proper divisors (64112707872).

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

19414080000 is an frugal number, since it uses more digits than its factorization.

19414080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 19414080000 in words is "nineteen billion, four hundred fourteen million, eighty thousand".