1264009204224 has 560 divisors, whose sum is σ = 4095260120952. Its totient is φ = 387270180864.

The previous prime is 1264009204219. The next prime is 1264009204259. The reversal of 1264009204224 is 4224029004621.

1264009204224 is a `hidden beast` number, since 1 + 2 + 6 + 400 + 9 + 20 + 4 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 400537094400 + 863472109824 = 632880^2 + 929232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1635199102 + ... + 1635199874.

Almost surely, 2^{1264009204224} 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 1264009204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047630060476).

1264009204224 is an abundant number, since it is smaller than the sum of its proper divisors (2831250916728).

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

1264009204224 is an frugal number, since it uses more digits than its factorization.

1264009204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1264009204224 in words is "one trillion, two hundred sixty-four billion, nine million, two hundred four thousand, two hundred twenty-four".