1432563024640 has 432 divisors, whose sum is σ = 3854970100800. Its totient is φ = 509572546560.

The previous prime is 1432563024637. The next prime is 1432563024647. The reversal of 1432563024640 is 464203652341.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1432563024593 and 1432563024602.

It is not an unprimeable number, because it can be changed into a prime (1432563024647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419784456 + ... + 1419785464.

It is an arithmetic number, because the mean of its divisors is an integer number (8923541900).

Almost surely, 2^{1432563024640} is an apocalyptic number.

1432563024640 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 1432563024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927485050400).

1432563024640 is an abundant number, since it is smaller than the sum of its proper divisors (2422407076160).

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

1432563024640 is a wasteful number, since it uses less digits than its factorization.

1432563024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 1432563024640 its reverse (464203652341), we get a palindrome (1896766676981).

The spelling of 1432563024640 in words is "one trillion, four hundred thirty-two billion, five hundred sixty-three million, twenty-four thousand, six hundred forty".