419740056328320 has 1024 divisors, whose sum is σ = 1834911254937600. Its totient is φ = 88305206870016.

The previous prime is 419740056328319. The next prime is 419740056328337. The reversal of 419740056328320 is 23823650047914.

419740056328320 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 40 + 0 + 563 + 2 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 545265937 + ... + 546035183.

It is an arithmetic number, because the mean of its divisors is an integer number (1791905522400).

It is a 1-persistent number, because it is pandigital, but 2⋅419740056328320 = 839480112656640 is not.

Almost surely, 2^{419740056328320} is an apocalyptic number.

419740056328320 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 419740056328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917455627468800).

419740056328320 is an abundant number, since it is smaller than the sum of its proper divisors (1415171198609280).

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

419740056328320 is a wasteful number, since it uses less digits than its factorization.

419740056328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769642 (or 769624 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 419740056328320 in words is "four hundred nineteen trillion, seven hundred forty billion, fifty-six million, three hundred twenty-eight thousand, three hundred twenty".