1427531040 has 480 divisors, whose sum is σ = 5596501680. Its totient is φ = 340402176.

The previous prime is 1427531033. The next prime is 1427531051. The reversal of 1427531040 is 401357241.

It can be written as a sum of positive squares in 8 ways, for example, as 1019652624 + 407878416 = 31932^2 + 20196^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1427530995 and 1427531013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6233646 + ... + 6233874.

Almost surely, 2^1427531040 is an apocalyptic number.

1427531040 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 1427531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798250840).

1427531040 is an abundant number, since it is smaller than the sum of its proper divisors (4168970640).

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

1427531040 is a wasteful number, since it uses less digits than its factorization.

1427531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1427531040 is about 37782.6817470650. The cubic root of 1427531040 is about 1125.9744091136.

Adding to 1427531040 its reverse (401357241), we get a palindrome (1828888281).

The spelling of 1427531040 in words is "one billion, four hundred twenty-seven million, five hundred thirty-one thousand, forty".