1220335577344 has 243 divisors, whose sum is σ = 2719071048603. Its totient is φ = 546369847296.

The previous prime is 1220335577303. The next prime is 1220335577353. The reversal of 1220335577344 is 4437755330221.

The square root of 1220335577344 is 1104688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 910665586944 + 309669990400 = 954288^2 + 556480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1220335577294 and 1220335577303.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10799429832 + ... + 10799429944.

Almost surely, 2^{1220335577344} is an apocalyptic number.

1220335577344 is the 1104688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220335577344

1220335577344 is an abundant number, since it is smaller than the sum of its proper divisors (1498735471259).

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

1220335577344 is an frugal number, since it uses more digits than its factorization.

1220335577344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 46.

The spelling of 1220335577344 in words is "one trillion, two hundred twenty billion, three hundred thirty-five million, five hundred seventy-seven thousand, three hundred forty-four".