1023621318720 has 2016 divisors, whose sum is σ = 4816351088640. Its totient is φ = 195311001600.

The previous prime is 1023621318719. The next prime is 1023621318749. The reversal of 1023621318720 is 278131263201.

1023621318720 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 621 + 3 + 1 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5359273825 + ... + 5359274015.

It is an arithmetic number, because the mean of its divisors is an integer number (2389063040).

Almost surely, 2^{1023621318720} is an apocalyptic number.

1023621318720 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 1023621318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408175544320).

1023621318720 is an abundant number, since it is smaller than the sum of its proper divisors (3792729769920).

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

1023621318720 is a wasteful number, since it uses less digits than its factorization.

1023621318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 1023621 and 318720, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 1023621318720 in words is "one trillion, twenty-three billion, six hundred twenty-one million, three hundred eighteen thousand, seven hundred twenty".