419580000000 has 1440 divisors, whose sum is σ = 1835603113344. Its totient is φ = 93312000000.

The previous prime is 419579999981. The next prime is 419580000053. The reversal of 419580000000 is 85914.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11100 × 10500 × 3600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11339999982 + ... + 11340000018.

Almost surely, 2^419580000000 is an apocalyptic number.

419580000000 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 419580000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917801556672).

419580000000 is an abundant number, since it is smaller than the sum of its proper divisors (1416023113344).

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

419580000000 is an frugal number, since it uses more digits than its factorization.

419580000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 419580000000 its reverse (85914), we get a palindrome (419580085914).

The spelling of 419580000000 in words is "four hundred nineteen billion, five hundred eighty million", and thus it is an aban number.