1424658816 has 384 divisors, whose sum is σ = 4990003200. Its totient is φ = 381542400.

The previous prime is 1424658793. The next prime is 1424658869. The reversal of 1424658816 is 6188564241.

It is a happy number.

1424658816 is a `hidden beast` number, since 14 + 2 + 46 + 588 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10249275 + ... + 10249413.

It is an arithmetic number, because the mean of its divisors is an integer number (12994800).

Almost surely, 2^1424658816 is an apocalyptic number.

1424658816 is a gapful number since it is divisible by the number (16) 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 1424658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495001600).

1424658816 is an abundant number, since it is smaller than the sum of its proper divisors (3565344384).

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

1424658816 is a wasteful number, since it uses less digits than its factorization.

1424658816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1424658816 is about 37744.6528133456. The cubic root of 1424658816 is about 1125.2187402811.

The spelling of 1424658816 in words is "one billion, four hundred twenty-four million, six hundred fifty-eight thousand, eight hundred sixteen".