1023532521440 has 576 divisors, whose sum is σ = 2994658890048. Its totient is φ = 325715558400.

The previous prime is 1023532521413. The next prime is 1023532521449. The reversal of 1023532521440 is 441252353201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1023532521397 and 1023532521406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023532521449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284231122 + ... + 1284231918.

It is an arithmetic number, because the mean of its divisors is an integer number (5199060573).

Almost surely, 2^{1023532521440} is an apocalyptic number.

1023532521440 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 1023532521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497329445024).

1023532521440 is an abundant number, since it is smaller than the sum of its proper divisors (1971126368608).

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

1023532521440 is a wasteful number, since it uses less digits than its factorization.

1023532521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 1023532521440 its reverse (441252353201), we get a palindrome (1464784874641).

The spelling of 1023532521440 in words is "one trillion, twenty-three billion, five hundred thirty-two million, five hundred twenty-one thousand, four hundred forty".