1424640000 has 480 divisors, whose sum is σ = 5526480960. Its totient is φ = 319488000.

The previous prime is 1424639989. The next prime is 1424640013. The reversal of 1424640000 is 464241.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26879974 + ... + 26880026.

It is an arithmetic number, because the mean of its divisors is an integer number (11513502).

Almost surely, 2^1424640000 is an apocalyptic number.

1424640000 is a gapful number since it is divisible by the number (10) 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 1424640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763240480).

1424640000 is an abundant number, since it is smaller than the sum of its proper divisors (4101840960).

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

1424640000 is an frugal number, since it uses more digits than its factorization.

1424640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1424640000 is about 37744.4035586734. The cubic root of 1424640000 is about 1125.2137865315.

The spelling of 1424640000 in words is "one billion, four hundred twenty-four million, six hundred forty thousand".