1020024320000 has 260 divisors, whose sum is σ = 2913118141296. Its totient is φ = 349716480000.

The previous prime is 1020024319981. The next prime is 1020024320071. The reversal of 1020024320000 is 234200201.

It is a super-2 number, since 2×1020024320000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17891540 + ... + 17948460.

Almost surely, 2^{1020024320000} is an apocalyptic number.

1020024320000 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 1020024320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456559070648).

1020024320000 is an abundant number, since it is smaller than the sum of its proper divisors (1893093821296).

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

1020024320000 is an frugal number, since it uses more digits than its factorization.

1020024320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56972 (or 56935 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 1020024320000 its reverse (234200201), we get a palindrome (1020258520201).

The spelling of 1020024320000 in words is "one trillion, twenty billion, twenty-four million, three hundred twenty thousand".