1001406000 has 320 divisors, whose sum is σ = 3740046336. Its totient is φ = 225792000.

The previous prime is 1001405959. The next prime is 1001406023. The reversal of 1001406000 is 6041001.

1001406000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4745895 + ... + 4746105.

Almost surely, 2^1001406000 is an apocalyptic number.

1001406000 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 1001406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870023168).

1001406000 is an abundant number, since it is smaller than the sum of its proper divisors (2738640336).

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

1001406000 is a wasteful number, since it uses less digits than its factorization.

1001406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1001406000 is about 31644.9996049929. Note that the first 3 decimals coincide. The cubic root of 1001406000 is about 1000.4684471896.

Adding to 1001406000 its reverse (6041001), we get a palindrome (1007447001).

The spelling of 1001406000 in words is "one billion, one million, four hundred six thousand".