419791128120 has 960 divisors, whose sum is σ = 1775724793920. Its totient is φ = 88421953536.

The previous prime is 419791128109. The next prime is 419791128151. The reversal of 419791128120 is 21821197914.

419791128120 is a `hidden beast` number, since 419 + 7 + 91 + 1 + 28 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 707910544 + ... + 707911136.

It is an arithmetic number, because the mean of its divisors is an integer number (1849713327).

Almost surely, 2^419791128120 is an apocalyptic number.

419791128120 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 419791128120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887862396960).

419791128120 is an abundant number, since it is smaller than the sum of its proper divisors (1355933665800).

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

419791128120 is an equidigital number, since it uses as much as digits as its factorization.

419791128120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 419791128120 in words is "four hundred nineteen billion, seven hundred ninety-one million, one hundred twenty-eight thousand, one hundred twenty".