1424801664 has 480 divisors, whose sum is σ = 5147354520. Its totient is φ = 385689600.

The previous prime is 1424801641. The next prime is 1424801683. The reversal of 1424801664 is 4661084241.

It is a happy number.

1424801664 is a `hidden beast` number, since 14 + 2 + 480 + 166 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45961329 + ... + 45961359.

Almost surely, 2^1424801664 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 1424801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573677260).

1424801664 is an abundant number, since it is smaller than the sum of its proper divisors (3722552856).

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

1424801664 is a wasteful number, since it uses less digits than its factorization.

1424801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1424801664 is about 37746.5450604423. The cubic root of 1424801664 is about 1125.2563469167.

The spelling of 1424801664 in words is "one billion, four hundred twenty-four million, eight hundred one thousand, six hundred sixty-four".