1420729200 has 240 divisors, whose sum is σ = 5516908800. Its totient is φ = 344390400.

The previous prime is 1420729181. The next prime is 1420729231. The reversal of 1420729200 is 29270241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 112821 + ... + 124779.

It is an arithmetic number, because the mean of its divisors is an integer number (22987120).

Almost surely, 2^1420729200 is an apocalyptic number.

1420729200 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 1420729200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758454400).

1420729200 is an abundant number, since it is smaller than the sum of its proper divisors (4096179600).

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

1420729200 is a wasteful number, since it uses less digits than its factorization.

1420729200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1420729200 is about 37692.5616004007. The cubic root of 1420729200 is about 1124.1832293753.

Adding to 1420729200 its reverse (29270241), we get a palindrome (1449999441).

The spelling of 1420729200 in words is "one billion, four hundred twenty million, seven hundred twenty-nine thousand, two hundred".