419949800640 has 168 divisors, whose sum is σ = 1497950847120. Its totient is φ = 111986592768.

The previous prime is 419949800597. The next prime is 419949800657. The reversal of 419949800640 is 46008949914.

It is a happy number.

419949800640 is a `hidden beast` number, since 4 + 1 + 99 + 498 + 0 + 0 + 64 + 0 = 666.

It is a super-3 number, since 3×419949800640³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2622535 + ... + 2778054.

It is an arithmetic number, because the mean of its divisors is an integer number (8916374090).

Almost surely, 2^419949800640 is an apocalyptic number.

419949800640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419949800640 is an abundant number, since it is smaller than the sum of its proper divisors (1078001046480).

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

419949800640 is an equidigital number, since it uses as much as digits as its factorization.

419949800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400621 (or 5400599 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 419949800640 in words is "four hundred nineteen billion, nine hundred forty-nine million, eight hundred thousand, six hundred forty".