1406093040 has 640 divisors, whose sum is σ = 5759631360. Its totient is φ = 311731200.

The previous prime is 1406093011. The next prime is 1406093047. The reversal of 1406093040 is 403906041.

1406093040 is a `hidden beast` number, since 14 + 0 + 609 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1406092995 and 1406093013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406093047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16940839 + ... + 16940921.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2^1406093040 is an apocalyptic number.

1406093040 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 1406093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879815680).

1406093040 is an abundant number, since it is smaller than the sum of its proper divisors (4353538320).

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

1406093040 is a wasteful number, since it uses less digits than its factorization.

1406093040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1406093040 is about 37497.9071415992. The cubic root of 1406093040 is about 1120.3095020490.

Adding to 1406093040 its reverse (403906041), we get a palindrome (1809999081).

The spelling of 1406093040 in words is "one billion, four hundred six million, ninety-three thousand, forty".