1021246560144 has 200 divisors, whose sum is σ = 3055719921408. Its totient is φ = 328939004160.

The previous prime is 1021246560143. The next prime is 1021246560157. The reversal of 1021246560144 is 4410656421201.

1021246560144 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 4 + 6 + 5 + 601 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1021246560099 and 1021246560108.

It is not an unprimeable number, because it can be changed into a prime (1021246560143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27180379 + ... + 27217925.

Almost surely, 2^{1021246560144} 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 1021246560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527859960704).

1021246560144 is an abundant number, since it is smaller than the sum of its proper divisors (2034473361264).

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

1021246560144 is a wasteful number, since it uses less digits than its factorization.

1021246560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38275 (or 38260 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1021246560144 in words is "one trillion, twenty-one billion, two hundred forty-six million, five hundred sixty thousand, one hundred forty-four".