1455143040 has 192 divisors, whose sum is σ = 5411591640. Its totient is φ = 358170624.

The previous prime is 1455143009. The next prime is 1455143071. The reversal of 1455143040 is 403415541.

It is a happy number.

1455143040 is a `hidden beast` number, since 145 + 51 + 430 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1455143009) and next prime (1455143071).

It can be written as a sum of positive squares in 4 ways, for example, as 556582464 + 898560576 = 23592^2 + 29976^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1455142995 and 1455143013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65164 + ... + 84596.

Almost surely, 2^1455143040 is an apocalyptic number.

1455143040 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 1455143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705795820).

1455143040 is an abundant number, since it is smaller than the sum of its proper divisors (3956448600).

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

1455143040 is a wasteful number, since it uses less digits than its factorization.

1455143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19471 (or 19456 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1455143040 is about 38146.3371767199. The cubic root of 1455143040 is about 1133.1878136883.

Adding to 1455143040 its reverse (403415541), we get a palindrome (1858558581).

The spelling of 1455143040 in words is "one billion, four hundred fifty-five million, one hundred forty-three thousand, forty".