419440146048 has 1536 divisors, whose sum is σ = 1655269056000. Its totient is φ = 103464345600.

The previous prime is 419440146017. The next prime is 419440146119. The reversal of 419440146048 is 840641044914.

It is a happy number.

It is a super-2 number, since 2×419440146048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 419440145994 and 419440146012.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6876067938 + ... + 6876067998.

It is an arithmetic number, because the mean of its divisors is an integer number (1077649125).

Almost surely, 2^419440146048 is an apocalyptic number.

419440146048 is a gapful number since it is divisible by the number (48) 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 419440146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827634528000).

419440146048 is an abundant number, since it is smaller than the sum of its proper divisors (1235828909952).

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

419440146048 is an equidigital number, since it uses as much as digits as its factorization.

419440146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 419440146048 in words is "four hundred nineteen billion, four hundred forty million, one hundred forty-six thousand, forty-eight".