419934228480 has 1248 divisors, whose sum is σ = 1696964199840. Its totient is φ = 95693045760.

The previous prime is 419934228479. The next prime is 419934228487. The reversal of 419934228480 is 84822439914.

It is a happy number.

419934228480 is a `hidden beast` number, since 4 + 19 + 9 + 342 + 284 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 419655204864 + 279023616 = 647808^2 + 16704^2 .

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×419934228480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419934228487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6884167650 + ... + 6884167710.

It is an arithmetic number, because the mean of its divisors is an integer number (1359746955).

Almost surely, 2^419934228480 is an apocalyptic number.

419934228480 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 419934228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848482099920).

419934228480 is an abundant number, since it is smaller than the sum of its proper divisors (1277029971360).

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

419934228480 is a wasteful number, since it uses less digits than its factorization.

419934228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 419934228480 in words is "four hundred nineteen billion, nine hundred thirty-four million, two hundred twenty-eight thousand, four hundred eighty".