1021225356544 has 216 divisors, whose sum is σ = 2232172810728. Its totient is φ = 465846681600.

The previous prime is 1021225356533. The next prime is 1021225356553. The reversal of 1021225356544 is 4456535221201.

It can be written as a sum of positive squares in 4 ways, for example, as 467856000000 + 553369356544 = 684000^2 + 743888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1021225356497 and 1021225356506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345357114 + ... + 345360070.

It is an arithmetic number, because the mean of its divisors is an integer number (10334133383).

Almost surely, 2^{1021225356544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021225356544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116086405364).

1021225356544 is an abundant number, since it is smaller than the sum of its proper divisors (1210947454184).

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

1021225356544 is a wasteful number, since it uses less digits than its factorization.

1021225356544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 1021225356544 in words is "one trillion, twenty-one billion, two hundred twenty-five million, three hundred fifty-six thousand, five hundred forty-four".