1024435426560 has 1728 divisors, whose sum is σ = 4340584765440. Its totient is φ = 203692769280.

The previous prime is 1024435426529. The next prime is 1024435426571. The reversal of 1024435426560 is 656245344201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7370038971 + ... + 7370039109.

It is an arithmetic number, because the mean of its divisors is an integer number (2511912480).

Almost surely, 2^{1024435426560} is an apocalyptic number.

1024435426560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024435426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170292382720).

1024435426560 is an abundant number, since it is smaller than the sum of its proper divisors (3316149338880).

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

1024435426560 is a wasteful number, since it uses less digits than its factorization.

1024435426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 1024435426560 in words is "one trillion, twenty-four billion, four hundred thirty-five million, four hundred twenty-six thousand, five hundred sixty".