1406543040 has 252 divisors, whose sum is σ = 5628351456. Its totient is φ = 321463296.

The previous prime is 1406543027. The next prime is 1406543041. The reversal of 1406543040 is 403456041.

1406543040 is a `hidden beast` number, since 1 + 4 + 0 + 654 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 1406542995 and 1406543013.

It is not an unprimeable number, because it can be changed into a prime (1406543041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136137 + ... + 146103.

It is an arithmetic number, because the mean of its divisors is an integer number (22334728).

Almost surely, 2^1406543040 is an apocalyptic number.

1406543040 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 1406543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814175728).

1406543040 is an abundant number, since it is smaller than the sum of its proper divisors (4221808416).

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

1406543040 is a wasteful number, since it uses less digits than its factorization.

1406543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1406543040 is about 37503.9069964717. The cubic root of 1406543040 is about 1120.4290023216.

Adding to 1406543040 its reverse (403456041), we get a palindrome (1809999081).

It can be divided in two parts, 1406 and 543040, that added together give a triangular number (544446 = T₁₀₄₃).

The spelling of 1406543040 in words is "one billion, four hundred six million, five hundred forty-three thousand, forty".