1426115200 has 96 divisors (see below), whose sum is σ = 3549756060. Its totient is φ = 566108160.

The previous prime is 1426115143. The next prime is 1426115221. The reversal of 1426115200 is 25116241.

It can be written as a sum of positive squares in 6 ways, for example, as 1066936896 + 359178304 = 32664^2 + 18952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436774 + ... + 440026.

Almost surely, 2^1426115200 is an apocalyptic number.

1426115200 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 1426115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774878030).

1426115200 is an abundant number, since it is smaller than the sum of its proper divisors (2123640860).

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

1426115200 is a wasteful number, since it uses less digits than its factorization.

1426115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1426115200 is about 37763.9404723607. The cubic root of 1426115200 is about 1125.6020349699.

The spelling of 1426115200 in words is "one billion, four hundred twenty-six million, one hundred fifteen thousand, two hundred".