419499440640 has 1600 divisors, whose sum is σ = 1804435294464. Its totient is φ = 91156119552.

The previous prime is 419499440617. The next prime is 419499440669. The reversal of 419499440640 is 46044994914.

419499440640 is a `hidden beast` number, since 4 + 194 + 9 + 9 + 4 + 406 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3920555467 + ... + 3920555573.

Almost surely, 2^419499440640 is an apocalyptic number.

419499440640 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 419499440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902217647232).

419499440640 is an abundant number, since it is smaller than the sum of its proper divisors (1384935853824).

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

419499440640 is a wasteful number, since it uses less digits than its factorization.

419499440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 419499440640 in words is "four hundred nineteen billion, four hundred ninety-nine million, four hundred forty thousand, six hundred forty".