419914790400 has 1440 divisors, whose sum is σ = 1743664969728. Its totient is φ = 88562073600.

The previous prime is 419914790381. The next prime is 419914790429. The reversal of 419914790400 is 4097419914.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 419914790400.

It is a congruent 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 143 ways as a sum of consecutive naturals, for example, 1341580644 + ... + 1341580956.

Almost surely, 2^419914790400 is an apocalyptic number.

419914790400 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 419914790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871832484864).

419914790400 is an abundant number, since it is smaller than the sum of its proper divisors (1323750179328).

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

419914790400 is a wasteful number, since it uses less digits than its factorization.

419914790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 419914790400 in words is "four hundred nineteen billion, nine hundred fourteen million, seven hundred ninety thousand, four hundred".