1400013006 has 96 divisors (see below), whose sum is σ = 3391217280. Its totient is φ = 383874624.

The previous prime is 1400012989. The next prime is 1400013011. The reversal of 1400013006 is 6003100041.

It is a Curzon number.

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, 744940 + ... + 746816.

It is an arithmetic number, because the mean of its divisors is an integer number (35325180).

Almost surely, 2^1400013006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400013006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695608640).

1400013006 is an abundant number, since it is smaller than the sum of its proper divisors (1991204274).

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

1400013006 is a wasteful number, since it uses less digits than its factorization.

1400013006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1400013006 is about 37416.7476673214. The cubic root of 1400013006 is about 1118.6924062774.

Adding to 1400013006 its reverse (6003100041), we get a palindrome (7403113047).

The spelling of 1400013006 in words is "one billion, four hundred million, thirteen thousand, six".