1020355441320 has 128 divisors (see below), whose sum is σ = 3096103824000. Its totient is φ = 268981616640.

The previous prime is 1020355441291. The next prime is 1020355441361. The reversal of 1020355441320 is 231445530201.

It is a super-2 number, since 2×1020355441320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87345880 + ... + 87357560.

It is an arithmetic number, because the mean of its divisors is an integer number (24188311125).

Almost surely, 2^{1020355441320} is an apocalyptic number.

1020355441320 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 1020355441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548051912000).

1020355441320 is an abundant number, since it is smaller than the sum of its proper divisors (2075748382680).

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

1020355441320 is a wasteful number, since it uses less digits than its factorization.

1020355441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19963 (or 19959 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1020355441320 in words is "one trillion, twenty billion, three hundred fifty-five million, four hundred forty-one thousand, three hundred twenty".