419420774400 has 1008 divisors, whose sum is σ = 1535612928768. Its totient is φ = 100859904000.

The previous prime is 419420774387. The next prime is 419420774411. The reversal of 419420774400 is 4477024914.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6875750370 + ... + 6875750430.

Almost surely, 2^419420774400 is an apocalyptic number.

419420774400 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 419420774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767806464384).

419420774400 is an abundant number, since it is smaller than the sum of its proper divisors (1116192154368).

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

419420774400 is a wasteful number, since it uses less digits than its factorization.

419420774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 419420774400 in words is "four hundred nineteen billion, four hundred twenty million, seven hundred seventy-four thousand, four hundred".