3419123220480 has 704 divisors, whose sum is σ = 12277697959296. Its totient is φ = 805306368000.

The previous prime is 3419123220431. The next prime is 3419123220517. The reversal of 3419123220480 is 840223219143.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14187233160 + ... + 14187233400.

It is an arithmetic number, because the mean of its divisors is an integer number (17439911874).

Almost surely, 2^{3419123220480} is an apocalyptic number.

3419123220480 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 3419123220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138848979648).

3419123220480 is an abundant number, since it is smaller than the sum of its proper divisors (8858574738816).

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

3419123220480 is an frugal number, since it uses more digits than its factorization.

3419123220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 3419123220480 in words is "three trillion, four hundred nineteen billion, one hundred twenty-three million, two hundred twenty thousand, four hundred eighty".