1023321311040 has 448 divisors, whose sum is σ = 3844766707200. Its totient is φ = 225628913664.

The previous prime is 1023321311027. The next prime is 1023321311041. The reversal of 1023321311040 is 401131233201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1023321310998 and 1023321311016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023321311041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322914576 + ... + 322917744.

Almost surely, 2^{1023321311040} is an apocalyptic number.

1023321311040 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 1023321311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922383353600).

1023321311040 is an abundant number, since it is smaller than the sum of its proper divisors (2821445396160).

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

1023321311040 is a wasteful number, since it uses less digits than its factorization.

1023321311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1023321311040 its reverse (401131233201), we get a palindrome (1424452544241).

The spelling of 1023321311040 in words is "one trillion, twenty-three billion, three hundred twenty-one million, three hundred eleven thousand, forty".