1426132400 has 240 divisors, whose sum is σ = 4498402560. Its totient is φ = 420940800.

The previous prime is 1426132399. The next prime is 1426132441. The reversal of 1426132400 is 42316241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583982 + ... + 586418.

It is an arithmetic number, because the mean of its divisors is an integer number (18743344).

Almost surely, 2^1426132400 is an apocalyptic number.

1426132400 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 1426132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249201280).

1426132400 is an abundant number, since it is smaller than the sum of its proper divisors (3072270160).

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

1426132400 is a wasteful number, since it uses less digits than its factorization.

1426132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1426132400 is about 37764.1682021463. The cubic root of 1426132400 is about 1125.6065601483.

Adding to 1426132400 its reverse (42316241), we get a palindrome (1468448641).

The spelling of 1426132400 in words is "one billion, four hundred twenty-six million, one hundred thirty-two thousand, four hundred".