1425623040 has 288 divisors, whose sum is σ = 5110560000. Its totient is φ = 367165440.

The previous prime is 1425623039. The next prime is 1425623041. The reversal of 1425623040 is 403265241.

1425623040 is a `hidden beast` number, since 1 + 425 + 6 + 230 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1425623039) and next prime (1425623041).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1425622995 and 1425623013.

It is not an unprimeable number, because it can be changed into a prime (1425623041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856711 + ... + 2857209.

It is an arithmetic number, because the mean of its divisors is an integer number (17745000).

Almost surely, 2^1425623040 is an apocalyptic number.

1425623040 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 1425623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555280000).

1425623040 is an abundant number, since it is smaller than the sum of its proper divisors (3684936960).

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

1425623040 is a wasteful number, since it uses less digits than its factorization.

1425623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 540 counting only the distinct ones).

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

The square root of 1425623040 is about 37757.4236409213. The cubic root of 1425623040 is about 1125.4725363065.

Adding to 1425623040 its reverse (403265241), we get a palindrome (1828888281).

The spelling of 1425623040 in words is "one billion, four hundred twenty-five million, six hundred twenty-three thousand, forty".