419985257408 has 112 divisors (see below), whose sum is σ = 886212096000. Its totient is φ = 196921663488.

The previous prime is 419985257407. The next prime is 419985257441. The reversal of 419985257408 is 804752589914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419985257407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59661953 + ... + 59668991.

It is an arithmetic number, because the mean of its divisors is an integer number (7912608000).

Almost surely, 2^419985257408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419985257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443106048000).

419985257408 is an abundant number, since it is smaller than the sum of its proper divisors (466226838592).

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

419985257408 is a wasteful number, since it uses less digits than its factorization.

419985257408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 62.

The spelling of 419985257408 in words is "four hundred nineteen billion, nine hundred eighty-five million, two hundred fifty-seven thousand, four hundred eight".