419940951232 has 224 divisors, whose sum is σ = 1034796487680. Its totient is φ = 166572933120.

The previous prime is 419940951223. The next prime is 419940951257. The reversal of 419940951232 is 232159049914.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10667778 + ... + 10707070.

Almost surely, 2^419940951232 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 419940951232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517398243840).

419940951232 is an abundant number, since it is smaller than the sum of its proper divisors (614855536448).

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

419940951232 is a wasteful number, since it uses less digits than its factorization.

419940951232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39399 (or 39389 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The spelling of 419940951232 in words is "four hundred nineteen billion, nine hundred forty million, nine hundred fifty-one thousand, two hundred thirty-two".