1456540040 has 16 divisors (see below), whose sum is σ = 3277215180. Its totient is φ = 582616000.

The previous prime is 1456540031. The next prime is 1456540049. The reversal of 1456540040 is 400456541.

It is an interprime number because it is at equal distance from previous prime (1456540031) and next prime (1456540049).

It can be written as a sum of positive squares in 2 ways, for example, as 1358807044 + 97732996 = 36862^2 + 9886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1456539985 and 1456540012.

It is not an unprimeable number, because it can be changed into a prime (1456540049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18206711 + ... + 18206790.

Almost surely, 2^1456540040 is an apocalyptic number.

1456540040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456540040 is an abundant number, since it is smaller than the sum of its proper divisors (1820675140).

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

1456540040 is a wasteful number, since it uses less digits than its factorization.

1456540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36413512 (or 36413508 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 1456540040 is about 38164.6438474146. The cubic root of 1456540040 is about 1133.5503340727.

Adding to 1456540040 its reverse (400456541), we get a palindrome (1856996581).

The spelling of 1456540040 in words is "one billion, four hundred fifty-six million, five hundred forty thousand, forty".