1406334020 has 192 divisors, whose sum is σ = 3889643520. Its totient is φ = 414678528.

The previous prime is 1406334019. The next prime is 1406334031. The reversal of 1406334020 is 204336041.

It is a happy number.

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, 2316557 + ... + 2317163.

It is an arithmetic number, because the mean of its divisors is an integer number (20258560).

Almost surely, 2^1406334020 is an apocalyptic number.

1406334020 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 1406334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944821760).

1406334020 is an abundant number, since it is smaller than the sum of its proper divisors (2483309500).

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

1406334020 is a wasteful number, since it uses less digits than its factorization.

1406334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1406334020 is about 37501.1202499339. The cubic root of 1406334020 is about 1120.3734989432.

The spelling of 1406334020 in words is "one billion, four hundred six million, three hundred thirty-four thousand, twenty".