1420764800 has 576 divisors, whose sum is σ = 4768991640. Its totient is φ = 412876800.

The previous prime is 1420764797. The next prime is 1420764811. The reversal of 1420764800 is 84670241.

It can be written as a sum of positive squares in 12 ways, for example, as 8809024 + 1411955776 = 2968^2 + 37576^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34652780 + ... + 34652820.

Almost surely, 2^1420764800 is an apocalyptic number.

1420764800 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 1420764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384495820).

1420764800 is an abundant number, since it is smaller than the sum of its proper divisors (3348226840).

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

1420764800 is a wasteful number, since it uses less digits than its factorization.

1420764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1420764800 is about 37693.0338391592. The cubic root of 1420764800 is about 1124.1926190579.

The spelling of 1420764800 in words is "one billion, four hundred twenty million, seven hundred sixty-four thousand, eight hundred".