1022001624320 has 72 divisors (see below), whose sum is σ = 2462164164936. Its totient is φ = 406437552128.

The previous prime is 1022001624307. The next prime is 1022001624341. The reversal of 1022001624320 is 234261002201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 299392820224 + 722608804096 = 547168^2 + 850064^2 .

It is a super-2 number, since 2×1022001624320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2086187 + ... + 2529066.

It is an arithmetic number, because the mean of its divisors is an integer number (34196724513).

Almost surely, 2^{1022001624320} is an apocalyptic number.

1022001624320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001624320 is an abundant number, since it is smaller than the sum of its proper divisors (1440162540616).

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

1022001624320 is an equidigital number, since it uses as much as digits as its factorization.

1022001624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615447 (or 4615433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1022001624320 its reverse (234261002201), we get a palindrome (1256262626521).

The spelling of 1022001624320 in words is "one trillion, twenty-two billion, one million, six hundred twenty-four thousand, three hundred twenty".