1406066340 has 96 divisors (see below), whose sum is σ = 4522291200. Its totient is φ = 319752576.

The previous prime is 1406066327. The next prime is 1406066357. The reversal of 1406066340 is 436606041.

1406066340 is digitally balanced in base 6, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 1406066298 and 1406066307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75169 + ... + 91991.

It is an arithmetic number, because the mean of its divisors is an integer number (47107200).

Almost surely, 2^1406066340 is an apocalyptic number.

1406066340 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 1406066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261145600).

1406066340 is an abundant number, since it is smaller than the sum of its proper divisors (3116224860).

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

1406066340 is a wasteful number, since it uses less digits than its factorization.

1406066340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17041 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1406066340 is about 37497.5511200398. The cubic root of 1406066340 is about 1120.3024108983.

The spelling of 1406066340 in words is "one billion, four hundred six million, sixty-six thousand, three hundred forty".