1020365221440 has 112 divisors (see below), whose sum is σ = 3380514415488. Its totient is φ = 260267065344.

The previous prime is 1020365221349. The next prime is 1020365221453. The reversal of 1020365221440 is 441225630201.

It is a super-2 number, since 2×1020365221440² (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 a junction number, because it is equal to n+sod(n) for n = 1020365221398 and 1020365221407.

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 15 ways as a sum of consecutive naturals, for example, 23084017 + ... + 23128176.

It is an arithmetic number, because the mean of its divisors is an integer number (30183164424).

Almost surely, 2^{1020365221440} is an apocalyptic number.

1020365221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020365221440 is an abundant number, since it is smaller than the sum of its proper divisors (2360149194048).

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

1020365221440 is a wasteful number, since it uses less digits than its factorization.

1020365221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46212236 (or 46212226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 1020365221440 in words is "one trillion, twenty billion, three hundred sixty-five million, two hundred twenty-one thousand, four hundred forty".