1406442000 has 320 divisors, whose sum is σ = 4805049600. Its totient is φ = 353382400.

The previous prime is 1406441987. The next prime is 1406442013. The reversal of 1406442000 is 2446041.

It is an interprime number because it is at equal distance from previous prime (1406441987) and next prime (1406442013).

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 63 ways as a sum of consecutive naturals, for example, 10265932 + ... + 10266068.

It is an arithmetic number, because the mean of its divisors is an integer number (15015780).

Almost surely, 2^1406442000 is an apocalyptic number.

1406442000 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 1406442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402524800).

1406442000 is an abundant number, since it is smaller than the sum of its proper divisors (3398607600).

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

1406442000 is a wasteful number, since it uses less digits than its factorization.

1406442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

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

The square root of 1406442000 is about 37502.5599126246. The cubic root of 1406442000 is about 1120.4021727463.

Adding to 1406442000 its reverse (2446041), we get a palindrome (1408888041).

The spelling of 1406442000 in words is "one billion, four hundred six million, four hundred forty-two thousand".